Index theory and supersymmetry of 5D horizons

A bstract 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 AdS 5 . Our proof is based on Lichnerowicz type theorems for...

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Bibliographic Details
Published in:The journal of high energy physics 2014-06, Vol.2014 (6), p.1-24, Article 20
Main Authors: Grover, J., Gutowski, J., Papadopoulos, G., Sabra, W. A.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Construction
Elementary Particles
High energy physics
Horizon
Operators
Physics
Physics and Astronomy
Preserves
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Supersymmetry
Symmetry
Theorems
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Summary:A bstract 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 AdS 5 . 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 half-supersymmetric five-dimensional horizons admit an sl(2 , ) symmetry subalgebra.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2014)020