Supersymmetry and non-Abelian T-duality in type II supergravity

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dc.authoridO Colgain, Eoin/0000-0003-0813-5156
dc.authoridMacpherson, Niall Thomas/0000-0002-8298-7077
dc.authoridKelekci, Ozgur/0000-0001-7617-0231
dc.contributor.authorKelekci, Ozgur
dc.contributor.authorLozano, Yolanda
dc.contributor.authorMacpherson, Niall T.
dc.contributor.authorColgain, Eoin O.
dc.date.accessioned2024-12-24T19:28:27Z
dc.date.available2024-12-24T19:28:27Z
dc.date.issued2015
dc.departmentSiirt Üniversitesi
dc.description.abstractWe study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations before T-duality through the Kosmann spinorial Lie derivative, which vanishes when the Killing spinors are independent of the T-duality directions. As a byproduct of our analysis, we present closed expressions for SU(2) T-duality in a class of spacetimes with diagonal Bianchi IX symmetry and comment on specific examples of T-dual geometries, including a novel AdS(3) geometry with large N = (4, 4) superconformal symmetry.
dc.description.sponsorshipSimons Center for Geometry and Physics; Spanish Ministry of Science and Education [FPA2012-35043-C02-02]; STFC studentship; EU-COST Action [MP1210]; Marie Sklodowska-Curie Fellowship; STFC [ST/J500884/1] Funding Source: UKRI
dc.description.sponsorshipWe thank Koushik Balasubramanian, Tomas Ortin, Martin Rocek, Daniel Thompson and Rikard von Unge for correspondence and discussion. We are grateful to Martin Rocek and Kostas Sfetsos for readings of later drafts and sharing their constructive comments. OK and EOC wish to acknowledge support from the Simons Center for Geometry and Physics during the 2014 Simons Summer workshop in Mathematics and Physics. YL is partially supported by the Spanish Ministry of Science and Education grant FPA2012-35043-C02-02. NTM is supported by an STFC studentship. The research of YL and NTM has been supported by the EU-COST Action MP1210 'The String Theory Universe'. EOC is supported by a Marie Sklodowska-Curie Fellowship, 'T-Dualities'.
dc.identifier.doi10.1088/0264-9381/32/3/035014
dc.identifier.issn0264-9381
dc.identifier.issn1361-6382
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84921044714
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/0264-9381/32/3/035014
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7065
dc.identifier.volume32
dc.identifier.wosWOS:000349155600015
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofClassical and Quantum Gravity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectsupersymmetry
dc.subjectsupergravity
dc.subjectsolution generation
dc.titleSupersymmetry and non-Abelian T-duality in type II supergravity
dc.typeArticle

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