T-duality with $H$-flux for $2d$ $\sigma$-models
High Energy Physics - Theory
2024-11-26 v3 Differential Geometry
Abstract
In this paper, we establish graded T-duality for -models with -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.
Keywords
Cite
@article{arxiv.2207.03134,
title = {T-duality with $H$-flux for $2d$ $\sigma$-models},
author = {Fei Han and Varghese Mathai},
journal= {arXiv preprint arXiv:2207.03134},
year = {2024}
}
Comments
22pp. Section 1.3 added, giving a simpler, equivalent construction of the line bundle on LLM