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https://hdl.handle.net/2440/3509
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Type: | Journal article |
Title: | T-duality: Topology change from H-flux |
Author: | Bouwknegt, P. Evslin, J. Varghese, M. |
Citation: | Communications in Mathematical Physics, 2004; 249(2):383-415 |
Publisher: | Springer |
Issue Date: | 2004 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | Peter Bouwknegt, Jarah Evslin and Varghese Mathai |
Abstract: | T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E8 and also using S-duality. We present known and new examples including NS5-branes, nilmanifolds, lens spaces, both circle bundles over Pn, and the AdS5×S5 to AdS5×P2×S1 with background H-flux of Duff, Lü and Pope. When T-duality leads to M-theory on a non-spin manifold the gravitino partition function continues to exist due to the background flux, however the known quantization condition for G4 receives a correction. In a more general context, we use correspondence spaces to implement isomorphisms on the twisted K-theories and twisted cohomology theories and to study the corresponding Grothendieck-Riemann-Roch theorem. Interestingly, in the case of decomposable twists, both twisted theories admit fusion products and so are naturally rings. |
Description: | The original publication is available at www.springerlink.com |
DOI: | 10.1007/s00220-004-1115-6 |
Published version: | http://dx.doi.org/10.1007/s00220-004-1115-6 |
Appears in Collections: | Aurora harvest Pure Mathematics publications |
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