T-duality with \(H\)-flux for \(2d\) \(\sigma\)-models

DOI10.1007/S00220-024-05168-3MaRDI QIDQ6658712

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Publication date: 8 January 2025

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Homology and cohomology theories in algebraic topology (55Nxx) Fiber spaces and bundles in algebraic topology (55Rxx)

Cites Work

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• Topological sigma models with H-flux
• Superconnections and the Chern character
• Index theorem and equivariant cohomology on the loop space
• Superconnections, Thom classes, and equivariant differential forms
• Supersymmetry and Morse theory
• On the variation in the cohomology of the symplectic form of the reduced phase space
• D-branes, \(T\)-duality, and index theory
• \(T\)-duality: topology change from \(H\)-flux
• Some global aspects of duality in string theory
• T-duality in an H-flux: exchange of momentum and winding
• Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality
• T-duality, Jacobi forms and Witten-Gerbe modules
• Topological sigma-models with \(H\)-flux and twisted generalized complex manifolds
• Topology and \(H\)-flux of \(T\)-dual manifolds
• The Fixed Point Theorem in Equivariant Cohomology
• Loop spaces, characteristic classes and geometric quantization
• Supersymmetric localization, modularity and the Witten genus

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