On supersymmetric AdS6 solutions in 10 and 11 dimensions

J Gutowski; Georgios Papadopoulos

doi:10.1007/JHEP12(2017)009

On supersymmetric AdS6 solutions in 10 and 11 dimensions

J Gutowski, Georgios Papadopoulos

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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.

Original language	English
Article number	9
Number of pages	28
Journal	Journal of High Energy Physics
Volume	9
Issue number	12
Early online date	1 Dec 2017
DOIs	https://doi.org/10.1007/JHEP12(2017)009
Publication status	Published - 1 Dec 2017

Keywords

AdS-CFT Correspondence
Supergravity Models

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10.1007/JHEP12(2017)009Licence: CC BY

On supersymmetric AdS6_GUTOWSKI_Accepted 17 Nov 17_GOLD VoR_CCBYFinal published version, 598 KBLicence: CC BY

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AB - 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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On supersymmetric AdS6 solutions in 10 and 11 dimensions

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