T-duality and Differential K-Theory
K-Theory and Homology
2013-04-29 v2 High Energy Physics - Theory
Differential Geometry
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.
Cite
@article{arxiv.0912.2516,
title = {T-duality and Differential K-Theory},
author = {Alexander Kahle and Alessandro Valentino},
journal= {arXiv preprint arXiv:0912.2516},
year = {2013}
}
Comments
23 pages, typos corrected, submitted to Comm.Math.Phys