Topology and Flux of T-Dual Manifolds with Circle Actions

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dc.contributor.authorVarghese, M.
dc.contributor.authorWu, S.
dc.date.issued2012
dc.description.abstractWe 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.
dc.description.statementofresponsibilityVarghese Mathai, Siye Wu
dc.identifier.citationCommunications in Mathematical Physics, 2012; 316(1):279-286
dc.identifier.doi10.1007/s00220-012-1542-8
dc.identifier.issn0010-3616
dc.identifier.issn1432-0916
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/74718
dc.language.isoen
dc.publisherSpringer
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0878184
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0770927
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0770927
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0878184
dc.rights© Springer-Verlag 2012
dc.source.urihttps://doi.org/10.1007/s00220-012-1542-8
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectTheoretical, Mathematical and Computational Physics
dc.subjectStatistical Physics, Dynamical Systems and Complexity
dc.subjectClassical and Quantum Gravitation, Relativity Theory
dc.titleTopology and Flux of T-Dual Manifolds with Circle Actions
dc.typeJournal article
pubs.publication-statusPublished

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