Squashing the boundary of supersymmetric AdS5 black holes

Abstract We construct new supersymmetric black holes in five-dimensional supergravity with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging. These are asymptotically locally AdS5 and the conformal boundary comprises a squashed three-sphere with SU(2) × U(1) symmetry. The solutio...

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Bibliographic Details
Main Authors: Davide Cassani, Lorenzo Papini
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2018)037
Description
Summary:Abstract We construct new supersymmetric black holes in five-dimensional supergravity with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging. These are asymptotically locally AdS5 and the conformal boundary comprises a squashed three-sphere with SU(2) × U(1) symmetry. The solution depends on two parameters, of which one determines the angular momentum and the Page electric charges, while the other controls the squashing at the boundary. The latter is arbitrary, however in the flow towards the horizon it is attracted to a value that only depends on the other parameter of the solution. The entropy is reproduced by a simple formula involving the angular momentum and the Page charges, rather than the holographic charges. Choosing the appropriate five-dimensional framework, the solution can be uplifted to type IIB supergravity on S 5 and should thus be dual to N $$ \mathcal{N} $$ = 4 super Yang-Mills on a rotating, squashed Einstein universe.
ISSN:1029-8479