T-Dualities and Courant Algebroid Relations

Thomas C. De Fraja, Vincenzo Emilio Marotta*, Richard J. Szabo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a new approach to T-duality based on Courant algebroid relations which subsumes the usual T-duality as well as its various generalisations. Starting from a relational description for the reduction of exact Courant algebroids over foliated manifolds, we introduce a weakened notion of generalised isometries that captures the generalised geometry counterpart of Riemannian submersions when applied to transverse generalised metrics. This is used to construct T-dual backgrounds as generalised metrics on reduced Courant algebroids which are related by a generalised isometry. We prove an existence and uniqueness result for generalised isometric exact Courant algebroids coming from reductions. We demonstrate that our construction reproduces standard T-duality relations based on correspondence spaces. We also describe how it applies to generalised T-duality transformations of almost para-Hermitian manifolds.

Original languageEnglish
Article number21
JournalCommunications in Mathematical Physics
Volume406
Issue number1
Early online date6 Jan 2025
DOIs
Publication statusPublished - Jan 2025

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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