We present a general method to derive the classical mechanics of a system of identical particles ... more We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistical mechanics can be interpreted as a classical version of Haldane's exclusion statistics.
We derive a number of classically equivalent actions for p-branes and discuss their tensionless l... more We derive a number of classically equivalent actions for p-branes and discuss their tensionless limit. We then use one of these actions to show that the standard Kaluza--Klein ansatz does not yield a tensile string from a tensionless one.
It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of ... more It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold. Closure of the algebra and invariance of the action is discussed in this framework and integrability of the F structures is defined and shown to hold. The reduction to the usual (1, 1) sigma model description and identification with the bi-quaternionic set of complex structures and their properties is elucidated. The F structure formulation should be applicable to many other models and will have an equivalent formulation in Generalised Geometry.
summary:This is a brief review of how sigma models in Projective Superspace have become important... more summary:This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics
We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano ten... more We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Plebański-Demiański metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds.
We present a general method to derive the classical mechanics of a system of identical particles ... more We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistical mechanics can be interpreted as a classical version of Haldane's exclusion statistics.
We derive a number of classically equivalent actions for p-branes and discuss their tensionless l... more We derive a number of classically equivalent actions for p-branes and discuss their tensionless limit. We then use one of these actions to show that the standard Kaluza--Klein ansatz does not yield a tensile string from a tensionless one.
It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of ... more It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold. Closure of the algebra and invariance of the action is discussed in this framework and integrability of the F structures is defined and shown to hold. The reduction to the usual (1, 1) sigma model description and identification with the bi-quaternionic set of complex structures and their properties is elucidated. The F structure formulation should be applicable to many other models and will have an equivalent formulation in Generalised Geometry.
summary:This is a brief review of how sigma models in Projective Superspace have become important... more summary:This is a brief review of how sigma models in Projective Superspace have become important tools for constructing new hyperkähler metrics
We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano ten... more We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Plebański-Demiański metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds.
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Papers by Ulf Lindström