T-duality with $H$-flux for $2d$ $Ï$-models

Fei Han; Varghese Mathai

doi:10.1007/s00220-024-05168-3

paper

T-duality with $H$ -flux for $2 d$ $I ¨ $ -models

arXiv:2207.03134 · doi:10.1007/s00220-024-05168-3

Abstract

In this paper, we establish graded T-duality for $2 d$ $I ¨ $ -models with $H$ -flux after localization. This establishes the most general version of T-duality for Type II String Theory. The graded T-duality map, which we call {\bf graded Hori morphism}, is compatible with the Jacobi property of the graded fields, that was earlier studied in \cite{HM21}. Also included are some open problems/conjectures.

22pp. Section 1.3 added, giving a simpler, equivalent construction of the line bundle on LLM

T-duality with H-flux for 2d I¨-models

Abstract

T-duality with $H$ -flux for $2 d$ $I ¨ $ -models