All superalgebras for warped AdS2 and black hole near horizon geometries

U. Gran; J. Gutowski; G. Papadopoulos

doi:10.1088/1361-6382/ab4cd3

All superalgebras for warped AdS₂ and black hole near horizon geometries

U. Gran, J. Gutowski^*, G. Papadopoulos

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We identify all symmetry superalgebras of near horizon geometries of black holes with a Killing horizon, assuming the solution is smooth and that the spatial cross section of the event horizon is compact without boundary. This includes all warped AdS₂ backgrounds with the most general allowed fluxes in 10- and 11-dimensional supergravities. If the index of a particular Dirac operator vanishes, we find that the even symmetry subalgebra decomposes as, where is the Lie algebra of a group that acts transitively and effectively on spheres, and is the center of. If the Dirac operator index does not vanish, then the symmetry superalgebra is nilpotent with one even generator. We also demonstrate that there are no near horizon geometries, and also therefore no warped AdS₂ backgrounds, in 10- and 11-dimensions that preserve more than 16 supersymmetries.

Original language	English
Article number	235009
Journal	Classical and Quantum Gravity
Volume	36
Issue number	23
DOIs	https://doi.org/10.1088/1361-6382/ab4cd3
Publication status	Published - 1 Nov 2019

Keywords

black holes
superalgebras
supergravity

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10.1088/1361-6382/ab4cd3

https://arxiv.org/pdf/1712.07889.pdf

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AB - We identify all symmetry superalgebras of near horizon geometries of black holes with a Killing horizon, assuming the solution is smooth and that the spatial cross section of the event horizon is compact without boundary. This includes all warped AdS2 backgrounds with the most general allowed fluxes in 10- and 11-dimensional supergravities. If the index of a particular Dirac operator vanishes, we find that the even symmetry subalgebra decomposes as, where is the Lie algebra of a group that acts transitively and effectively on spheres, and is the center of. If the Dirac operator index does not vanish, then the symmetry superalgebra is nilpotent with one even generator. We also demonstrate that there are no near horizon geometries, and also therefore no warped AdS2 backgrounds, in 10- and 11-dimensions that preserve more than 16 supersymmetries.

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All superalgebras for warped AdS₂ and black hole near horizon geometries

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