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AdS5 Backgrounds with 24 Supersymmetries

Beck, SW, Gutowski, JB and Papadopoulos, G (2016) AdS5 Backgrounds with 24 Supersymmetries The Journal of High Energy Physics.

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We prove a non-existence theorem for smooth AdS5 solutions with connected, compact without boundary internal space that preserve strictly 24 supersymmetries. In particular, we show that D = 11 supergravity does not admit such solutions, and that all such solutions of IIB supergravity are locally isometric to the AdS5 × S5 maximally supersymmetric background. Furthermore, we prove that (massive) IIA supergravity also does not admit such solutions, provided that the homogeneity conjecture for massive IIA supergravity is valid. In the context of AdS/CFT these results imply that if gravitational duals for strictly N = 3 superconformal theories in 4-dimensions exist, they are either singular or their internal spaces are not compact.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 21 June 2016
Identification Number : 10.1007/JHEP06(2016)126
Copyright Disclaimer : © The Author(s) 2016. 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 : hep-th, hep-th
Depositing User : Symplectic Elements
Date Deposited : 08 Jul 2016 07:52
Last Modified : 08 Jul 2016 07:52

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