ABSTRACT The presence of the boundaries imposes severe constraints on the possible Conformal Fiel... more ABSTRACT The presence of the boundaries imposes severe constraints on the possible Conformal Field Theories (CFTs). Special physical boundary conditions are compatible with CFT and define Boundary Conformal Field Theories (BCFTs). This presentation contains a study of the Yang-Lee edge singularity (YLS) of the two dimensional (2D) Ising model on the infinite strip. At the 2D Ising model's YLS, several potential BCFTs are identified. Based on numerical calculations on an Ising quantum chain at YLS, the measurements are used to identify one of potential BCFTs.
In this work, we exploit the operator content of the D$_{6}$ conformal algebra. By constructing a... more In this work, we exploit the operator content of the D$_{6}$ conformal algebra. By constructing a $Z_{2}$-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.
We consider the minimal model describing the tricritical Ising model on the upper half plane or e... more We consider the minimal model describing the tricritical Ising model on the upper half plane or equivalently on an infinite strip of finite width and we determine its consistents boundary states as well as its 1-point correlation functions.
The main objective of this work is to give an application of the heat transfer equation to study ... more The main objective of this work is to give an application of the heat transfer equation to study in the first moments, the heat flow by conduction through composite materials along the real axis (Ox). We will first give an analytical study based on separate variables method (SVM). Next, we will discuss the behavior of heat transfer as a function of the thermo-physical properties of the two materials such as conductivities, dif-fusivities, thicknesses and Biot numbers. Finally, we will pass to the case of three-layer, in which the correspondence with the first case is given. The graphs are obtained from Maple program.
In this work, we exploit the operator content of the D 6 confor-mal algebra. By constructing a Z ... more In this work, we exploit the operator content of the D 6 confor-mal algebra. By constructing a Z 2-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.
ABSTRACT The presence of the boundaries imposes severe constraints on the possible Conformal Fiel... more ABSTRACT The presence of the boundaries imposes severe constraints on the possible Conformal Field Theories (CFTs). Special physical boundary conditions are compatible with CFT and define Boundary Conformal Field Theories (BCFTs). This presentation contains a study of the Yang-Lee edge singularity (YLS) of the two dimensional (2D) Ising model on the infinite strip. At the 2D Ising model's YLS, several potential BCFTs are identified. Based on numerical calculations on an Ising quantum chain at YLS, the measurements are used to identify one of potential BCFTs.
In this work, we exploit the operator content of the D$_{6}$ conformal algebra. By constructing a... more In this work, we exploit the operator content of the D$_{6}$ conformal algebra. By constructing a $Z_{2}$-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.
We consider the minimal model describing the tricritical Ising model on the upper half plane or e... more We consider the minimal model describing the tricritical Ising model on the upper half plane or equivalently on an infinite strip of finite width and we determine its consistents boundary states as well as its 1-point correlation functions.
The main objective of this work is to give an application of the heat transfer equation to study ... more The main objective of this work is to give an application of the heat transfer equation to study in the first moments, the heat flow by conduction through composite materials along the real axis (Ox). We will first give an analytical study based on separate variables method (SVM). Next, we will discuss the behavior of heat transfer as a function of the thermo-physical properties of the two materials such as conductivities, dif-fusivities, thicknesses and Biot numbers. Finally, we will pass to the case of three-layer, in which the correspondence with the first case is given. The graphs are obtained from Maple program.
In this work, we exploit the operator content of the D 6 confor-mal algebra. By constructing a Z ... more In this work, we exploit the operator content of the D 6 confor-mal algebra. By constructing a Z 2-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.
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Papers by smain balaska