T-Duality: Topology Change from H-flux

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dc.creatorBouwknegt, P.
dc.creatorEvslin, J.
dc.creatorMathai, V.
dc.date2003-06-09
dc.date2003-06-26
dc.date.accessioned2026-07-07T11:32:10Z
dc.date.available2026-07-07T11:32:10Z
dc.descriptionT-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E_8 and also using S-duality. We present known and new examples including NS5-branes, nilmanifolds, Lens spaces, both circle bundles over RP^n, and the AdS^5 x S^5 to AdS^5 x CP^2 x S^1 with background H-flux of Duff, Lu 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 G_4 fails. 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.
dc.description36 pages, latex2e, uses xypic package. Made only a few superficial changes in the manuscript
dc.identifierhttps://arxiv.org/abs/hep-th/0306062
dc.identifierhttp://arxiv.org/abs/hep-th/0306062
dc.identifierCommun.Math.Phys.249:383-415,2004
dc.identifierdoi:10.1007/s00220-004-1115-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197507
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.titleT-Duality: Topology Change from H-flux
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