Index theory and dynamical symmetry enhancement of M-horizons

J. Gutowski*, G. Papadopoulos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

We show that near-horizon geometries of 11-dimensional supergravity preserve an even number of supersymmetries. The proof follows from Lichnerowicz type theorems for two horizon Dirac operators, the field equations and Bianchi identities, and the vanishing of the index of a Dirac operator on the 9-dimensional horizon sections. As a consequence of this, we also prove that all M-horizons with non-vanishing fluxes admit a sl(2, R) subalgebra of symmetries.

Original languageEnglish
Article number088
Number of pages22
JournalJournal of High Energy Physics
Volume2013
Issue number5
DOIs
Publication statusPublished - May 2013

Keywords

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

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