- Saharanpur, Uttar Pradesh, India
Aalok Misra
Indian Institute Of Technology, Roorkee, Physics, Faculty Member
For the type IIB background of [1], along with a U(1) (of U(N_f)) gauge field, using the Ouyang embedding of N_f D7-branes and evaluating in the MQGP limit ($g_s \tau_{SU(3)}^{IIA}\in W_2+W_4+W_5, i.e., the large-N-suppression of the... more
For the type IIB background of [1], along with a U(1) (of U(N_f)) gauge field, using the Ouyang embedding of N_f D7-branes and evaluating in the MQGP limit ($g_s \tau_{SU(3)}^{IIA}\in W_2+W_4+W_5, i.e., the large-N-suppression of the resolved warped deformed conifold(relevant to [1])'s deviation from being complex, is lost in taking the mirror. With a further fine tuning, however, the same can be approximately recovered (W^{IIA}_2 0).
Research Interests: Physics and Gauge theory
In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we... more
In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we show that the local T^3 of [2] is the T^2-invariant sLag of [3] in a resolved conifold. This, together with the results of [4], shows that for a (predominantly resolved or deformed) resolved warped deformed conifold, the local T^3 of [2] in the MQGP limit, is the T^2-invariant sLag of [3] justifying the construction of the delocalized SYZ type IIA mirror of the type IIB background of [1]. Then, using the prescription of [5], we obtain the temperature dependence of the thermal (and electrical) conductivity working up to leading order in N (the number of D3-branes), and upon comparison with [6] show that the results mimic a 1+1-dimensional Luttinger liquid with impurities. Further, including sub-leading non-conformal terms in the metric determined by ...
Research Interests:
Continuing with the ideas of (section 4 of)[1], after inclusion of perturbative and non-perturbative α corrections to the Kähler potential and (D1and D3-) instanton generated superpotential, we show the possibility of slow-roll axionic... more
Continuing with the ideas of (section 4 of)[1], after inclusion of perturbative and non-perturbative α corrections to the Kähler potential and (D1and D3-) instanton generated superpotential, we show the possibility of slow-roll axionic inflation in the large volume limit of Swiss-Cheese Calabi-Yau orientifold compactifications of type IIB string theory. We also include oneand two-loop corrections to the Kähler potential but find the same to be subdominant to the (perturbative and non-perturbative) α corrections. The NS-NS axions provide a flat direction for slow-roll inflation to proceed from a saddle point to the nearest dS minimum.
The Iwasawa manifold is uplifted to seven-folds of either G2 holonomy or SU(3) structure, explicit new metrics for the same having been constructed in this work. We uplift the Iwasawa manifold to a G2 manifold through ”size” deformation... more
The Iwasawa manifold is uplifted to seven-folds of either G2 holonomy or SU(3) structure, explicit new metrics for the same having been constructed in this work. We uplift the Iwasawa manifold to a G2 manifold through ”size” deformation (of the Iwasawa metric), via Hitchin’s Flow equations, showing also the impossibility of the uplift for “shape” and “size” deformations (of the Iwasawa metric). Using results of [1], we also uplift the Iwasawa manifold to a 7-fold with SU(3) structure through ”size” and ”shape” deformations via generalisation of Hitchin’s Flow equations. For seven-folds with SU(3)-structure, the result could be interpreted as M5-branes wrapping two-cycles embedded in the seven-fold (as in [1]) a warped product of either a special hermitian six-fold or a balanced six-fold with the unit interval. There can be no uplift to seven-folds of SU(3) structure involving non-trivial “size” and “shape” deformations (of the Iwasawa metric) retaining the “standard complex structur...
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For the Ouyang embedding we calculate the chemical potential mu_C due to a U(1) gauge field on the w.v. of N_f D7-branes wrapped around a 4-cycle in a resolved warped deformed conifold with (M)N (fractional)D3-branes of [1], and show the... more
For the Ouyang embedding we calculate the chemical potential mu_C due to a U(1) gauge field on the w.v. of N_f D7-branes wrapped around a 4-cycle in a resolved warped deformed conifold with (M)N (fractional)D3-branes of [1], and show the possible thermodynamical stability up to linear order in the embedding parameter. In the spirit of [2] we obtain the local type IIA mirror using SYZ mirror symmetry near (theta_1,2,psi)=(<theta_1,2>,0,2pi,,4pi) and then oxidize the same to M theory. We take two limits of this uplift:(i)g_s,g_sN_f,g_sM^2/N,g_s^2M N_f<<1,g_sM,g_sN>>1 similar to [1] effected by M eps^-3d/2, N eps^-19d,g_s epsn^d,d>0 and eps<=O(0.01);(ii)the `MQGP limit' g_sM^2/N<<1, g_sN>>1 for finite g_s,M, effected by: g_s eps, M eps^-3d/2,N eps^-39d,d>0, eps< 1). The second limit is more suited for the study of QGP (See [3]) and can only be addressed in M theory. The uplift gives a black M3-brane solution whose near-horizon geometry near...
Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the M-theory uplift of) a UV-complete string theory dual,... more
Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the M-theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the O(p^4) χPT Lagrangian in the chiral limit involving the NGBs and ρ meson (and its flavor partners) from the M-theory /type IIA dual of large-N thermal QCD, inclusive of the O(R^4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values ) as given in arXiv:1510.01634[hep-ph], requires a relationship relating the O(R^4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual are related. As a bonus, we explicitly show that the O(R^4) corrections in the...
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Continuing with the ideas of (section 4 of) [1], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of... more
Continuing with the ideas of (section 4 of) [1], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of slow-roll axionic inflation in the large volume limit of Swiss-Cheese Calabi-Yau orientifold compactifications of type IIB string theory. We also include one- and two-loop corrections to the Kaehler potential but find the same to be subdominant to the (perturbative and non-perturbative) alpha' corrections. The NS-NS axions provide a flat direction for slow-roll inflation to proceed from a saddle point to the nearest dS minimum.
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Developing on the ideas of (section 4 of) [1] and [2] and using the formalisms of [3] and [4], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated... more
Developing on the ideas of (section 4 of) [1] and [2] and using the formalisms of [3] and [4], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of getting finite values for the non-linear parameter f_NL while looking for non-Gaussianities in type IIB compactifications on orientifolds of the Swiss Cheese Calabi-Yau WCP^4[1,1,1,6,9] in the L(arge) V(olume) S(cenarios) limit. First we show that in the context of multi-field slow-roll inflation, for the Calabi-Yau volume V 10^5 and D3-instanton number n^s 10 along with N_e 18, one can realize f_NL 0.03, and for Calabi-Yau volume V 10^6 with D3-instanton number n^s 10 resulting in number of e-foldings N_e 60, one can realize f_NL 0.01. Further we show that with the slow-roll conditions violated and for the number of the D3-instanton wrappings n^s O(1), one can realize f_NL O(1). Using general considerations an...
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In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we... more
In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we show that the local T^3 of [2] is the T^2-invariant sLag of [3] in a resolved conifold. This, together with the results of [4], shows that for a (predominantly resolved or deformed) resolved warped deformed conifold, the local T^3 of [2] in the MQGP limit, is the T^2-invariant sLag of [3] justifying the construction of the delocalized SYZ type IIA mirror of the type IIB background of [1]. Then, using the prescription of [5], we obtain the temperature dependence of the thermal (and electrical) conductivity working up to leading order in N (the number of D3-branes), and upon comparison with [6] show that the results mimic a 1+1-dimensional Luttinger liquid with impurities. Further, including sub-leading non-conformal terms in the metric determined by ...
Research Interests:
Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a mobile space-time filling D3-brane restricted to a nearly special Lagrangian sub-manifold (in the large volume limit, the pull-back of the Kaehler form close to... more
Using the (nearly) Ricci-flat Swiss-Cheese metric of [1], in the context of a mobile space-time filling D3-brane restricted to a nearly special Lagrangian sub-manifold (in the large volume limit, the pull-back of the Kaehler form close to zero and the real part of the pull-back of e^-i theta,theta=pi/2 times the nowhere-vanishing holomorphic three-form providing the volume form on the three-cycle) of the "big" divisor with (fluxed stacks of) space-time filling D7-branes also wrapping the "big" divisor (corresponding to a local minimum), we provide an explicit identification of the electron and the u-quark, as well as their SU(2)_L-singlet cousins, with fermionic super-partners of four Wilson line moduli; their superpartners turn out to be very heavy, the Higgsino-mass parameter turns out to be large, one obtains one light (with a mass of 125 GeV) and one heavy Higgs and the gluino is long lived (from a collider point of view) providing a possible realization of &...
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Following [1] and [2], we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super-Calabi-Yau in WCP^(3|2)[1,1,1,3|1,5], (using techniques of [3,4]) Meijer basis of solutions and monodromies (at 0,1 and \infty)... more
Following [1] and [2], we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super-Calabi-Yau in WCP^(3|2)[1,1,1,3|1,5], (using techniques of [3,4]) Meijer basis of solutions and monodromies (at 0,1 and \infty) in the large and small complex structure limits, as well as obtain the mirror hypersurface, which in the large Kaehler limit, turns out to be either a bidegree-(6,6) hypersurface in WCP^(3|1)[1,1,1,2] x WCP^(1|1)[1,1|6] or a (Z_2-singular) bidegree-(6,12) hypersurface in WCP^(3|1)[1,1,2,6|6] x WCP^(1|1)[1,1|6].
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We analyze several open and mixed sector tree-level amplitudes in N = 2 p - p′ systems with a constant magnetic B turned on. The three-point function vanishes on-shell. The four-point function, in the Seiberg–Witten (SW) low energy... more
We analyze several open and mixed sector tree-level amplitudes in N = 2 p - p′ systems with a constant magnetic B turned on. The three-point function vanishes on-shell. The four-point function, in the Seiberg–Witten (SW) low energy limit,2 is local, indicating the possible topological nature of the theory (in the SW low energy limit) and the possible relation between noncommutativeN = 2 p - p′system in two complex dimensions and in the SW limit, and (non)commutativeN = 2 p′ - p′system in two real dimensions. We discuss three extreme noncommutativity limits (after having taken the Seiberg–Witten low energy limit) of the mixed three-point function, and get two kinds of commutative nonassociative generalized star products. We make some speculative remarks related to reproducing the above four-point tree level amplitude in the open sector, from a field theory.
Research Interests: Field Theory and Physics
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A holographic computation of T_c at intermediate coupling from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a... more
A holographic computation of T_c at intermediate coupling from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of M- chiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement Temperature, and show equivalence with an Entanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms Quartic in curvature. We demonstrate a Flavor-Memory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O(R^4)....
We show that in a certain region of space, the U(1) sector of the static dyonic solutions to the noncommutative U(4) N = 4 Super Yang-Mills (SYM) can be consistently decoupled from the SU(4) to all orders in the noncommutativity... more
We show that in a certain region of space, the U(1) sector of the static dyonic solutions to the noncommutative U(4) N = 4 Super Yang-Mills (SYM) can be consistently decoupled from the SU(4) to all orders in the noncommutativity parameter. We show the above decoupling in two ways. First, we show the noncommutative dyon being the same as the commutative dyon, is a consistent solution to noncommutative equations of motion in that region of space. Second, as an example of decoupling of a non-null U(1) sector, we also obtain a family of solutions with nontrivial U(1) components for all components of the gauge field in the same region of space. In both cases, the SU(4) and U(1) components separately satisfy the equations of motion. 1
We address issues related to (i) a proposal for resolving a long-standing tension between large volume cosmology and phenomenology as regards reconciliation of requirements of different gravitino masses within the same string-theoretic... more
We address issues related to (i) a proposal for resolving a long-standing tension between large volume cosmology and phenomenology as regards reconciliation of requirements of different gravitino masses within the same string-theoretic framework, as well as (ii) evaluation of soft supersymmetry breaking terms and open-string moduli masses in the context of type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP 4 [1, 1, 1, 6, 9] with a single mobile space-time filling D3brane and stacks of D7-branes wrapping the “big ” divisor ΣB as well as supporting D7-brane fluxes. In addition, we also include perturbative α ′-corrections and non-perturbative world-sheet instanton corrections to the Kähler potential as well as Euclidean D3-instanton superpotential. First, using the toric data for the aforementioned Swiss-Cheese Calabi-Yau and GLSM techniques, we obtain in the large volume limit, the geometric Kähler potential for the big (and small) divis...
We begin with a discussion on two apparently disconnected topics- one related to nonperturbative superpotential generated from wrapping an M2-brane around a supersymmetric three cycle embedded in a G2-manifold evaluated by the... more
We begin with a discussion on two apparently disconnected topics- one related to nonperturbative superpotential generated from wrapping an M2-brane around a supersymmetric three cycle embedded in a G2-manifold evaluated by the path-integral inside a path-integral approach of [1], and the other centered around the compact Calabi-Yau CY3(3, 243) expressed as a blow-up of a degree-24 Fermat hypersurface in WCP 4 [1, 1, 2, 8, 12]. For the former, we compare the results with the ones of Witten on heterotic world-sheet instantons [2]. The subtopics covered in the latter include an N = 1 triality between Heterotic, M- and F-theories, evaluation of RP 2-instanton superpotential, Picard-Fuchs equation for the mirror Landau-Ginsburg model corresponding to CY3(3, 243), D = 11 supergravity corresponding to M-theory compactified on a ‘barely ’ G2 manifold involving CY3(3, 243) and a conjecture related to the action of antiholomorphic involution on period integrals. We then shown an indirect conn...
We perform a heat kernel asymptotics analysis of the nonperturbative superpotential obtained from wrapping of an M2-brane around a supersymmetric noncompact three-fold embedded in a (noncompact) G2-manifold as obtained in [1], the... more
We perform a heat kernel asymptotics analysis of the nonperturbative superpotential obtained from wrapping of an M2-brane around a supersymmetric noncompact three-fold embedded in a (noncompact) G2-manifold as obtained in [1], the three-fold being the one relevant to domain walls in Witten’s MQCD [2], in the limit of small “ζ”, a complex constant that appears in the Riemann surfaces relevant to defining the boundary conditions for the domain wall in MQCD. The MQCD-like configuration is interpretable, for small but non-zero ζ as a noncompact/“large ” open membrane instanton, and for vanishing ζ, as the type IIA D0-brane (for vanishing M-theory circle radius). We find that the eta-function Seeley de-Witt coefficients vanish, and we get a perfect match between the zeta-function Seeley de-Witt coefficients (up to terms quadratic in ζ) between the Dirac-type operator and one of the two Laplace-type operators figuring in the superpotential. Given the dissimilar forms of the bosonic and th...
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hep-th/0603126 Following [1] and [2], we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super-Calabi-Yau in WCP (3|2) [1,1,1,3|1,5], (using techniques of [3, 4]) Meijer basis of solutions and monodromies (at... more
hep-th/0603126 Following [1] and [2], we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super-Calabi-Yau in WCP (3|2) [1,1,1,3|1,5], (using techniques of [3, 4]) Meijer basis of solutions and monodromies (at 0,1 and ∞) in the large and small complex structure limits, as well as obtain the mirror hypersurface, which in the large Kähler limit, turns out to be either a bidegree-(6,6) hypersurface in WCP (3|1) [1,1,1,2]×WCP (1|1) [1,1|6] or a (Z2-singular) bidegree-(6,12) hypersurface in WCP (3|1) [1,1,2,6|6]× WCP (1|1) [1,1|6]. 1
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In this short supplement to [1], we discuss the uplift of half-flat sixfolds to Spin(7) eight-folds by fibration of the former over a product of two intervals. We show that the same can be done in two ways-one, such that the required... more
In this short supplement to [1], we discuss the uplift of half-flat sixfolds to Spin(7) eight-folds by fibration of the former over a product of two intervals. We show that the same can be done in two ways-one, such that the required Spin(7) eight-fold is a double G2 seven-fold fibration over an interval, the G2 seven-fold itself being the half-flat six-fold fibered over the other interval, and second, by simply considering the fibration of the half-flat six-fold over [0, 1] × [0, 1]. The flow equations one gets are an obvious generalization of the Hitchin’s flow equations (to obtain seven-folds of G2 holonomy from half-flat six-folds [2]). We explicitly show the uplift of the Iwasawa using both methods, thereby proposing the form of new Spin(7) metrics. We give a plausibility argument ruling out the uplift of the Iwasawa manifold to a Spin(7) eight fold at the “edge”, using the second method. As an aside, we further motivate the possibility of including elliptic functions into seve...
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Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the M-theory uplift of) a UV-complete string theory dual,... more
Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the M-theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the O(p4) χPT Lagrangian in the chiral limit involving the NGBs and ρ meson (and its flavor partners) from the Mtheory /type IIA dual of large-N thermal QCD, inclusive of the O(R4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values ) as given in [1], requires a relationship relating the O(R4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual, are related. As a bonus, we explicitly show that the O(R4) corrections in the UV to the Mtheory uplift...
Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in... more
Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of mu-Split SUSY, we show that in addition to getting a significant value of electron/neutron EDM d_{e,n}/e at two-loop level, one can obtain a sizable contribution of d_{e,n}/e even at one-loop level. We obtain d_{e}/e ~ O(10^{-29}) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and d_{e}/e ~ O(10^{-32}) cm from one-loop diagram involving heavy chargino and a light Higgs. Also, d_{n}/e ~ O(10^{-33}) cm from one-loop diagram involving SM-like quarks and Higgs. Next, by considering a Barr-Zee diagram involving W bosons and Higgs, and conjecturing that the CP-violating phase can appear from a linear combination of Higgs doublet obtai...
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Construction of a top-down holographic dual of thermal QCD at intermediate 't Hooft coupling has been missing in the literature. We fill this gap by studying the M theory dual of large-$N$ thermal QCD at intermediate gauge and 't... more
Construction of a top-down holographic dual of thermal QCD at intermediate 't Hooft coupling has been missing in the literature. We fill this gap by studying the M theory dual of large-$N$ thermal QCD at intermediate gauge and 't Hooft couplings and obtain the ${\cal O}(l_p^6)$ corrections to the MQGP background of arXiv:1306.4339. We also work out in the IR, the $SU(3)$-structure torsion classes of the type IIA mirror of arXiv:0902.1540 (making contact en route with Siegel theta functions related to appropriate hyperelliptic curves, as well as techniques of solving quintics), and the $G_2/SU(4)/Spin(7)$-structure torsion classes of its M theory uplift. The six-fold $M_6(r,\theta_{1,2},\phi_{1,2},\psi)$ relevant to the type IIA mirror turns out to be a non-complex manifold (though the deviation from $W_{1,2}^{SU(3)}=0$ being $N$-suppressed) but very interestingly, $inclusive\ of\ the\ {\cal O}(l_p^6)\ corrections$, $W_4^{SU(3)} \sim W_5^{SU(3)}$ implying a supersymmetric-lik...
The SYZ mirror, in the ‘delocalized limit’ of [1], of N D3-branes, M fractional D3-branes and Nf flavor D7-branes wrapping a non-compact four cycle in the presence of a black-hole resulting in a non-Kähler resolved warped deformed... more
The SYZ mirror, in the ‘delocalized limit’ of [1], of N D3-branes, M fractional D3-branes and Nf flavor D7-branes wrapping a non-compact four cycle in the presence of a black-hole resulting in a non-Kähler resolved warped deformed conifold (NKRWDC) in [2], was carried out in [3] and resulted in black M3-branes. There are two parts of the paper. In the first we show that in the ‘MQGP’ limit discussed in [3]: finite gs (expected to hence be more relevant to QGP), finite gsM,Nf , g 2 sMNf and very large gsN , and very small gsM 2 N , (i) the uplift, if valid globally (like [4] for fractional D3 branes in conifolds), asymptotes to M5-branes wrapping a two-cycle (homologously an (large) integer sum of two-spheres) in AdS5 ×M6, (ii) assuming the deformation parameter to be larger than the resolution parameter, by estimating the five SU(3) structure torsion (τ) classes W1,2,3,4,5 we verify that τ ∈ W4 ⊕W5 : 2 3ReW 3̄ 5 = W 3̄ 4 in the UV and near θi = 0, implying the NKRWDC locally preserv...
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We address issues related to (i) a proposal for resolving a long-standing tension between large volume cosmology and phenomenology as regards reconciliation of requirements of different gravitino masses within the same string-theoretic... more
We address issues related to (i) a proposal for resolving a long-standing tension between large volume cosmology and phenomenology as regards reconciliation of requirements of different gravitino masses within the same string-theoretic framework, as well as (ii) evaluation of soft supersymmetry breaking terms and open-string moduli masses in the context of type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP[1, 1, 1, 6, 9] with a single mobile space-time filling D3brane and stacks of D7-branes wrapping the “big” divisor ΣB as well as supporting D7-brane fluxes. In addition, we also include perturbative α-corrections and non-perturbative world-sheet instanton corrections to the Kähler potential as well as Euclidean D3-instanton superpotential. First, using the toric data for the aforementioned Swiss-Cheese Calabi-Yau and GLSM techniques, we obtain in the large volume limit, the geometric Kähler potential for the big (and small) divisor(s) ...
Construction of a top-down holographic dual of thermal QCD-like theories (equivalence class of theories which are UV-conformal, IR-confining and have fundamental quarks) {\it at intermediate 't Hooft coupling} and the $G$-structure... more
Construction of a top-down holographic dual of thermal QCD-like theories (equivalence class of theories which are UV-conformal, IR-confining and have fundamental quarks) {\it at intermediate 't Hooft coupling} and the $G$-structure (torsion classes) classification of the underlying geometries (in the Infra Red (IR)/non-conformal sector in particular) of the {\it non-supersymmetric} string/${\cal M}$-theory duals, have been missing in the literature. We take the first important steps in this direction by studying the ${\cal M}$ theory dual of large-$N$ thermal QCD-like theories at intermediate gauge and 't Hooft couplings and obtaining the ${\cal O}(l_p^6)$ corrections arising from the ${\cal O}(R^4)$ terms to the ``MQGP'' background (${\cal M}$-theory dual of large-$N$ thermal QCD-like theories at intermediate gauge/string coupling, but large 't Hooft coupling) of \cite{MQGP}. The main Physics lesson learnt is that there is a competition between non-conformal IR ...
Research Interests: Mathematics and Physics
A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) M -theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we... more
A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) M -theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we demonstrate a novel UV-IR connection, (conjecture and provide evidence for) a non-renormalization beyond one loop of M − chiral perturbation theory [1]-compatible deconfinement Temperature, and show equivalence with an Entanglement (as well as Wald) entropy [2] computation, up to terms Quartic in curvature (R). We demonstrate a FlavorMemory (FM) effect in the M -theory uplifts of the gravity duals, wherein the no-braner M -theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part (given by S as an S-fibration over the vanishing two-cycle S) of the noncompact four-cycle &qu...
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We consider two sets of issues in this paper. The first has to do with moduli stabilization, existence of " area codes " [1] and the possibility of getting a non-supersymmetric dS minimum without the addition of D3-branes as in... more
We consider two sets of issues in this paper. The first has to do with moduli stabilization, existence of " area codes " [1] and the possibility of getting a non-supersymmetric dS minimum without the addition of D3-branes as in KKLT for type II flux compactifications. The second has to do with the " Inverse Problem " [2] and " Fake Superpotentials " [3] for extremal (non)supersymmetric black holes in type II compactifications. We use (orientifold of) a " Swiss Cheese " Calabi-Yau [4] expressed as a degree-18 hypersurface in WCP 4 [1, 1, 1, 6, 9] in the " large-volume-scenario " limit [5]. The main result of our paper is that we show that by including non-perturbative α ′ and instanton corrections in the Kähler potential and superpotential [6], it may be possible to obtain a large-volume non-supersymmetric dS minimum without the addition of anti-D3 branes a la KKLT. The chosen Calabi-Yau has been of relevance also from the point of ot...
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In type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and supporting... more
In type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and supporting D7-brane fluxes, (i) using the toric data and GLSM techniques, we obtain the geometric Kaehler potential for D_5 in terms of genus-two Siegel theta functions; (ii) we show that as the D3-brane moves from a particular embedded non-singular elliptic curve to another one, it is possible to obtain 10^{12}GeV gravitino during the inflationary era as well as a TeV gravitino in the present era, for the same vol(CY)~10^6l_s^6; (iii) by constructing local appropriate involutively-odd harmonic one-form on D_5 that lies in the cokernel of the pullback of the immersion map, we show that it is possible to obtain an O(1) g_{YM} from the wrapping of D7-branes on D_5 due to competing contributions from the Wilson line moduli relative to the divisor volume modulus (to...
We analyse open and mixed sector tree-level amplitudes consisting of two p − p ′ open-string and one or two p ′ − p ′ open-string vertex operators in the purely open-string sector, and two p − p ′ or p ′ − p ′ open-string and one closed... more
We analyse open and mixed sector tree-level amplitudes consisting of two p − p ′ open-string and one or two p ′ − p ′ open-string vertex operators in the purely open-string sector, and two p − p ′ or p ′ − p ′ open-string and one closed string vertex operators, for N = 2 strings with a constant magnetic B turned on. We note that in the open sector, the exact expressions for the amplitudes can be read off from Itoyama et al's expressions for noncommutative N = 1 p − p ′ amplitudes [1] after a suitable identification of the polarization vector figuring in the vector vertex operator of their paper with momentum (ζ = ik). However, on taking the Seiberg-Witten (SW) low energy limit[2], there are considerable differences in the results one obtains and the interpretations of the results: the 4-point function is local indicating the possible topological nature of the theory. The 3-point function vanishes (on-shell) even without taking the SW low energy limit. The calculation of the mixe...
Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the $$ \mathcal{M} $$ M -theory uplift of) a UV-complete... more
Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the $$ \mathcal{M} $$ M -theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the $$ \mathcal{O} $$ O (p4) χPT Lagrangian in the chiral limit involving the NGBs and ρ meson (and its flavor partners) from the $$ \mathcal{M} $$ M -theory/type IIA dual of large-N thermal QCD, inclusive of the $$ \mathcal{O} $$ O (R4) corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values) as given in [1], requires a relationship relating the $$ \mathcal{O} $$ O (R4) corrections and large-N suppression. In other words, QCD demands that the higher derivative corrections and the large-N suppressed corrections in its M/string theory dual, are rela...
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A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) ℳ-theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we... more
A (semiclassical) holographic computation of the deconfinement temperature at intermediate coupling from (a top-down) ℳ-theory dual of thermal QCD-like theories, has been missing in the literature. In the process of filling this gap, we demonstrate a novel UV-IR connection, (conjecture and provide evidence for) a non-renormalization beyond one loop of ℳ-chiral perturbation theory [1]-compatible deconfinement Temperature, and show equivalence with an Entanglement (as well as Wald) entropy [2] computation, up to terms Quartic in curvature (R). We demonstrate a Flavor-Memory (FM) effect in the ℳ-theory uplifts of the gravity duals, wherein the no-braner ℳ-theory uplift retains the “memory” of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part (given by S3 as an S1-fibration over the vanishing two-cycle S2) of the non-compact four-cycle “wrapped” by ...
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Using the pull-back of the perturbed type IIA metric corresponding to the perturbation of [1]’s M-theory uplift of [2]’s UV-complete top-down type IIB holographic dual of large-N thermal QCD, at finite coupling, we obtain the interaction... more
Using the pull-back of the perturbed type IIA metric corresponding to the perturbation of [1]’s M-theory uplift of [2]’s UV-complete top-down type IIB holographic dual of large-N thermal QCD, at finite coupling, we obtain the interaction Lagrangian corresponding to exotic scalar glueball(G E )-ρ/π-meson interaction, linear in the exotic scalar glueball and up to quartic order in the π mesons. In the Lagrangian the coupling constants are determined as (radial integrals of) [1]’s M-theory uplift’s metric components and six radial functions appearing in the M-theory metric perturbations. Assuming M G > 2M ρ , we then compute ρ → 2π, G E → 2π, 2ρ, ρ + 2π decay widths as well as the direct and indirect (mediated via ρ mesons) G E → 4π decays. For numerics, we choose f 0[1710] and compare with previous calculations. We emphasize that our results can be made to match PDG data (and improvements thereof) exactly by appropriate tuning of some constants of integration appearing in the solut...
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Obtaining a lattice-consistent result for the temperature dependence of the QCD conformal anomaly from a top-down M-theory dual (valid) for all temperatures – both, $$TT_c$$T>Tc – of thermal QCD at intermediate gauge coupling, has been... more
Obtaining a lattice-consistent result for the temperature dependence of the QCD conformal anomaly from a top-down M-theory dual (valid) for all temperatures – both, $$TT_c$$T>Tc – of thermal QCD at intermediate gauge coupling, has been missing in the literature. We fill this gap by addressing this issue from the M-theory uplift of the SYZ type IIA mirror at intermediate gauge/string coupling [both obtained in Dhuria et al. (JHEP 1311:001, 2013)] of the UV-complete type IIB holographic dual of large-N thermal QCD of Mia et al. (Nucl Phys B 839:187, 2010), and comparing with the very recent lattice results of Bazavov et al. (Phys Rev D 97(1):014510, 2018). Estimates of the $$\mathcal{O}(R^4)$$O(R4) higher derivative corrections in the $$D=11$$D=11 supergravity action relevant to considering the aforementioned M theory uplift in the intermediate ’t Hooft coupling (in addition to gauge coupling) limit, are also presented. We also show that after a tuning of the (small) Ouyang embeddi...
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Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a... more
Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a theory at low energies and at weak and strong ’t Hooft couplings when the temperature is above the deconfinement temperature. The weak coupling analysis is based on Boltzmann equation from kinetic theory whereas the strong coupling analysis uses non-conformal holographic techniques from string and M-theories. Using these, many properties associated with bulk viscosity may be explicitly derived.
In this paper we study bulk viscosity in a thermal QCD model with large number of colors at two extreme limits: the very weak and the very strong ’t Hooft couplings. The weak coupling scenario is based on kinetic theory, and one may go to... more
In this paper we study bulk viscosity in a thermal QCD model with large number of colors at two extreme limits: the very weak and the very strong ’t Hooft couplings. The weak coupling scenario is based on kinetic theory, and one may go to the very strong coupling dynamics via an intermediate coupling regime. Although the former has a clear description in terms of kinetic theory, the intermediate coupling regime, which uses lattice results, suffers from usual technical challenges that render an explicit determination of bulk viscosity somewhat difficult. On the other hand, the very strong ’t Hooft coupling dynamics may be studied using string theories at both weak and strong string couplings using gravity duals in type IIB as well as M-theory respectively. In type IIB we provide the precise fluctuation modes of the metric in the gravity dual responsible for bulk viscosity, compute the speed of sound in the medium and analyze the ratio of the bulk to shear viscosities. In M-theory, wh...