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Index Theory and Supersymmetry of 5D Horizons

Grover, J, Gutowski, JB, Papadopoulos, G and Sabra, WA (2014) Index Theory and Supersymmetry of 5D Horizons J. High Energy Phys 06 (2014) 020.

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We prove that the near-horizon geometries of minimal gauged five-dimensional supergravity preserve at least half of the supersymmetry. If the near-horizon geometries preserve a larger fraction, then they are locally isometric to AdS5. Our proof is based on Lichnerowicz type theorems for two horizon Dirac operators constructed from the supercovariant connection restricted to the horizon sections, and on an application of the index theorem. An application is that all five-dimensional horizons admit an sl(2,R) symmetry subalgebra.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Grover, J
Papadopoulos, G
Sabra, WA
Date : 4 June 2014
DOI : 10.1007/JHEP06(2014)020
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:46
Last Modified : 10 Jun 2019 13:15

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