Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/74718
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Type: | Journal article |
Title: | Topology and Flux of T-Dual Manifolds with Circle Actions |
Author: | Varghese, M. Wu, S. |
Citation: | Communications in Mathematical Physics, 2012; 316(1):279-286 |
Publisher: | Springer |
Issue Date: | 2012 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | Varghese Mathai, Siye Wu |
Abstract: | We present an explicit formula for the topology and H-flux of the T-dual of a general type II, compactification, significantly generalizing earlier results. Our results apply to T-dualities with respect to any circle action on spacetime X. As before, T-duality exchanges type IIA and type IIB string theories. A new consequence is that the T-dual spacetime is a singular space when the fixed point set XT is non-empty; the singularities correspond to Kaluza-Klein monopoles. We propose that the Ramond-Ramond charges of type II string theories on the singular dual are classified by twisted equivariant cohomology groups. We also discuss the K-theory approach. |
Keywords: | Quantum Physics Mathematical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Classical and Quantum Gravitation, Relativity Theory |
Rights: | © Springer-Verlag 2012 |
DOI: | 10.1007/s00220-012-1542-8 |
Grant ID: | http://purl.org/au-research/grants/arc/DP0878184 http://purl.org/au-research/grants/arc/DP0770927 http://purl.org/au-research/grants/arc/DP0770927 http://purl.org/au-research/grants/arc/DP0878184 |
Published version: | http://dx.doi.org/10.1007/s00220-012-1542-8 |
Appears in Collections: | Aurora harvest 4 Pure Mathematics publications |
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