Index theory and supersymmetry of 5D horizons

J. Grover*, J. Gutowski, G. Papadopoulos, W. A. Sabra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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 AdS(5). Our proof is based on Lichnerowicz type theorems for two horizon Dirac operators constructed from the super-covariant 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, R) symmetry subalgebra.

Original languageEnglish
Article number20
Number of pages24
JournalJournal of High Energy Physics
Volume2014
Issue number6
DOIs
Publication statusPublished - 4 Jun 2014

Keywords

  • Black Holes in String Theory
  • Supergravity Models
  • BLACK-HOLE
  • SUPERGRAVITY
  • SYMMETRIES
  • UNIQUENESS
  • PREONS

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