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AdSbackgrounds with 24 supersymmetries

Research output: Contribution to journalArticle

S. Beck, J. Gutowski, Georgios Papadopoulos

Original languageEnglish
Article number126
Number of pages22
JournalJournal of High Energy Physics
Volume2016
Issue number6
DOIs
Accepted/In press7 Jun 2016
Published21 Jun 2016

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Abstract

Abstract: We prove a non-existence theorem for smooth AdS5solutions 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× S5maximally 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.

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