Geometric T-duality: Buscher rules in general topology

TL;DR

This paper introduces a new framework that unifies classical Buscher rules for T-duality with topological T-duality, addressing both metric/B-field transformations and topological aspects.

Contribution

It develops a comprehensive framework that combines metric, B-field, and topological features of T-duality, extending beyond previous separate approaches.

Findings

Unified description of T-duality incorporating topology and geometry

Extension of Buscher rules to non-trivial topological settings

Framework applicable to complex topological backgrounds

Abstract

The classical Buscher rules describe T-duality for metrics and B-fields in a topologically trivial setting. On the other hand, topological T-duality addresses aspects of non-trivial topology while neglecting metrics and B-fields. In this article we develop a new unifying framework for both aspects.