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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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Abstract

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
Authors :
NameEmailORCID
Grover, JUNSPECIFIEDUNSPECIFIED
Gutowski, JBj.gutowski@surrey.ac.ukUNSPECIFIED
Papadopoulos, GUNSPECIFIEDUNSPECIFIED
Sabra, WAUNSPECIFIEDUNSPECIFIED
Date : 4 June 2014
Identification Number : https://doi.org/10.1007/JHEP06(2014)020
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:46
Last Modified : 17 May 2017 15:05
URI: http://epubs.surrey.ac.uk/id/eprint/836657

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