TDuality: Topology Change from HFlux
Abstract
Tduality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the Hflux, as we motivate using E_{8} and also using Sduality. We present known and new examples including NS5branes, nilmanifolds, lens spaces, both circle bundles over P^{n}, and the AdS^{5}×S^{5} to AdS^{5}×P^{2}×S^{1} with background Hflux of Duff, Lü and Pope. When Tduality leads to Mtheory on a nonspin manifold the gravitino partition function continues to exist due to the background flux, however the known quantization condition for G_{4} receives a correction. In a more general context, we use correspondence spaces to implement isomorphisms on the twisted Ktheories and twisted cohomology theories and to study the corresponding GrothendieckRiemannRoch theorem. Interestingly, in the case of decomposable twists, both twisted theories admit fusion products and so are naturally rings.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2004
 DOI:
 10.1007/s0022000411156
 arXiv:
 arXiv:hepth/0306062
 Bibcode:
 2004CMaPh.249..383B
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Differential Geometry;
 Mathematics  KTheory and Homology
 EPrint:
 36 pages, latex2e, uses xypic package. Made only a few superficial changes in the manuscript