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On supersymmetric AdS6 solutions in 10 and 11 dimensions

Research output: Contribution to journalArticle

Original languageEnglish
Article number9
Number of pages28
JournalJournal of High Energy Physics
Volume9
Issue number12
Early online date1 Dec 2017
DOIs
Accepted/In press17 Nov 2017
E-pub ahead of print1 Dec 2017
Published1 Dec 2017

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Abstract

We prove a non-existence theorem for smooth, supersymmetric, warped AdS6 solutions with connected, compact without boundary internal space in D = 11 and (massive) IIA supergravities. In IIB supergravity we show that if such AdS6 solutions exist, then the NSNS and RR 3-form fluxes must be linearly independent and certain spinor bilinears must be appropriately restricted. Moreover we demonstrate that the internal space admits an so(3) action which leaves all the fields invariant and for smooth solutions the principal orbits must have co-dimension two. We also describe the topology and geometry of internal spaces that admit such a so(3) action and show that there are no solutions for which the internal space has topology F × S2, where F is an oriented surface.

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