Spherical T-duality

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dc.contributor.authorBouwknegt, P.
dc.contributor.authorEvslin, J.
dc.contributor.authorMathai, V.
dc.date.issued2015
dc.description.abstractWe introduce spherical T-duality, which relates pairs of the form (P, H) consisting of a principal SU(2)-bundle P→M and a 7-cocycle H on P. Intuitively spherical T-duality exchanges H with the second Chern class c 2(P). Unless dim(M)≤4, not all pairs admit spherical T-duals and the spherical T-duals are not always unique. Nonetheless, we prove that all spherical T-dualities induce a degree-shifting isomorphism on the 7-twisted cohomologies of the bundles and, when dim(M)≤7, also their integral twisted cohomologies and, when dim(M)≤4, even their 7-twisted K-theories. While spherical T-duality does not appear to relate equivalent string theories, it does provide an identification between conserved charges in certain distinct IIB supergravity and string compactifications.
dc.description.statementofresponsibilityPeter Bouwknegt, Jarah Evslin, Varghese Mathai
dc.identifier.citationCommunications in Mathematical Physics, 2015; 337(2):909-954
dc.identifier.doi10.1007/s00220-015-2354-4
dc.identifier.issn0010-3616
dc.identifier.issn1432-0916
dc.identifier.orcidMathai, V. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/93753
dc.language.isoen
dc.publisherSpringer Berlin Heidelberg
dc.relation.granthttp://purl.org/au-research/grants/arc/DP110100072
dc.relation.granthttp://purl.org/au-research/grants/arc/DP130103924
dc.rights© Springer-Verlag Berlin Heidelberg 2015
dc.source.urihttps://doi.org/10.1007/s00220-015-2354-4
dc.titleSpherical T-duality
dc.typeJournal article
pubs.publication-statusPublished

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