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dc.contributor.authorChi, Hanci
dc.contributor.authorChrysikos, Ioannis
dc.contributor.authorSchneider, Eivind
dc.date.accessioned2024-03-04T13:26:54Z
dc.date.available2024-03-04T13:26:54Z
dc.date.issued2023-06-08
dc.description.abstractWe present decomposable (5, 6)-solutions M<sup>1,4</sup>×M<sup>6</sup> in eleven-dimensional supergravity by solving the bosonic supergravity equations for a variety of non-trivial flux forms. Many of the bosonic backgrounds presented here are induced by various types of null flux forms on products of certain totally Ricci-isotropic Lorentzian Walker manifolds and Ricci-flat Riemannian manifolds. These constructions provide an analogy of the work performed by Chrysikos and Galaev [Classical Quantum Gravity 37, 125004 (2020)], who made similar computations for decomposable (6, 5)-solutions. We also present bosonic backgrounds that are products of Lorentzian Einstein manifolds with a negative Einstein constant (in the “mostly plus” convention) and Riemannian Kähler–Einstein manifolds with a positive Einstein constant. This conclusion generalizes a result of Pope and van Nieuwenhuizen [Commun. Math. Phys. 122, 281–292 (1989)] concerning the appearance of six-dimensional Kähler–Einstein manifolds in eleven-dimensional supergravity. In this setting, we construct infinitely many non-symmetric decomposable (5, 6)-supergravity backgrounds by using the infinitely many Lorentzian Einstein–Sasakian structures with a negative Einstein constant on the 5-sphere, known from the work of Boyer et al. [Commun. Math. Phys. 262, 177–208 (2006)].en_US
dc.identifier.citationChi, Chrysikos I, Schneider E. Decomposable (5, 6)-solutions in eleven-dimensional supergravity. Journal of Mathematical Physics. 2023en_US
dc.identifier.cristinIDFRIDAID 2166946
dc.identifier.doi10.1063/5.0142572
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.urihttps://hdl.handle.net/10037/33103
dc.language.isoengen_US
dc.publisherAIP Publishingen_US
dc.relation.journalJournal of Mathematical Physics
dc.rights.accessRightsopenAccessen_US
dc.rights.holderPublished under an exclusive license by AIP Publishingen_US
dc.titleDecomposable (5, 6)-solutions in eleven-dimensional supergravityen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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