T-duality and Differential K-Theory

TL;DR

This paper formulates T-duality for Ramond-Ramond fields within differential K-theory, establishing a canonical isomorphism that integrates topological and physical perspectives.

Contribution

It provides a precise mathematical formulation of T-duality for differential K-theory, linking topological and physical frameworks.

Findings

Canonical isomorphism between twisted differential K-theories

Integration of topological T-duality with Buscher rules

Clarification of T-duality for Ramond-Ramond fields

Abstract

We give a precise formulation of T-duality for Ramond-Ramond fields. This gives a canonical isomorphism between the "geometrically invariant" subgroups of the twisted differential K-theory of certain principal torus bundles. Our result combines topological T-duality with the Buscher rules found in physics.