T-duality for principal torus bundles

TL;DR

This paper investigates T-duality in principal torus bundles with H-flux, identifying T-dualizable fluxes, computing dual bundles and fluxes, and illustrating examples of both T-dualizable and non T-dualizable cases.

Contribution

It characterizes T-dualizable fluxes in principal torus bundles and provides explicit computations of dual bundles and fluxes, expanding understanding of T-duality in this context.

Findings

Identified a subset of T-dualizable H-fluxes

Computed dual torus bundles and fluxes explicitly

Provided examples illustrating T-dualizable and non T-dualizable fluxes

Abstract

In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as the dual H-flux. We briefly discuss the generalized Gysin sequence behind this construction and provide examples both of non T-dualizable and of T-dualizable H-fluxes.