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On supersymmetric AdS6 solutions in 10 and 11 dimensions

Gutowski, Jan and Papadopoulos, G (2017) On supersymmetric AdS6 solutions in 10 and 11 dimensions Journal of High Energy Physics, 2017 (9).

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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 bi-linears 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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Papadopoulos, G
Date : 1 December 2017
DOI : 10.1007/JHEP12(2017)009
Copyright Disclaimer : Copyright 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : Supergravity Models, AdS-CFT Correspondence
Depositing User : Melanie Hughes
Date Deposited : 15 Dec 2017 12:10
Last Modified : 16 Jan 2019 19:06

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