Dirac structures on nilmanifolds and coexistence of fluxes

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dc.identifier.uri http://dx.doi.org/10.15488/948
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/972
dc.contributor.author Chatzistavrakidis, Athanasios
dc.contributor.author Jonke, Larisa
dc.contributor.author Lechtenfeld, Olaf
dc.date.accessioned 2016-12-22T07:22:14Z
dc.date.available 2016-12-22T07:22:14Z
dc.date.issued 2014
dc.identifier.citation Chatzistavrakidis, A.; Jonke, L.; Lechtenfeld, O.: Dirac structures on nilmanifolds and coexistence of fluxes. In: Nuclear Physics B 883 (2014), Nr. 1, S. 59-82. DOI: https://doi.org/10.1016/j.nuclphysb.2014.03.013
dc.description.abstract We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with fluxes since they carry geometric flux by construction. They are generalized Calabi-Yau spaces and therefore simple examples of generalized geometry at work. We identify and classify Dirac structures on nilmanifolds, which are maximally isotropic subbundles closed under the Courant bracket. In the presence of non-vanishing fluxes, these structures are twisted and closed under appropriate extensions of the Courant bracket. Twisted Dirac structures on a nilmanifold may carry multiple coexistent fluxes of any type. We also show how dual Dirac structures combine to Courant algebroids and work out an explicit example where all types of generalized fluxes coexist. These results may be useful in the context of general flux compactifications in string theory. eng
dc.description.sponsorship DFG/LE838/13
dc.language.iso eng
dc.publisher Amsterdam : Elsevier
dc.relation.ispartofseries Nuclear Physics B 883 (2014)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject.ddc 530 | Physik ger
dc.title Dirac structures on nilmanifolds and coexistence of fluxes eng
dc.type article
dc.type Text
dc.relation.issn 05503213
dc.relation.doi https://doi.org/10.1016/j.nuclphysb.2014.03.013
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 883
dc.bibliographicCitation.firstPage 59
dc.bibliographicCitation.lastPage 82
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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