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math.DGFeb 20, 2022
authors
  • Fei Han
  • Varghese Mathai
institutions
  • National University of Singapore
  • The University of Adelaide
arXiv abstractPDF
paper

T-duality, vertical holonomy line bundles and loop Hori formulae

arXiv:2202.09908 · doi:10.1142/S0129055X22500192

Abstract

This paper is a step towards realizing T-duality and Hori formulae for loop spaces. Here we prove T-duality and Hori formulae for winding q-loop spaces, which are infinite dimensional subspaces of loop spaces.

arXiv comment23 pages

References in corpus (10)

  • Twisted K-theory and K-theory of bundle gerbes
  • T-Duality: Topology Change from H-flux
  • On the Topology and Flux of T-Dual Manifolds
  • Chern character in twisted K-theory: equivariant and holomorphic cases
  • On the topology of T-duality
  • Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality
  • Twisted chiral de Rham complex, generalized geometry, and T-duality
  • T-duality in an H-flux: exchange of momentum and winding
  • T-Duality, Jacobi Forms and Witten Gerbe Modules
  • T-duality and the exotic chiral de Rham complex
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