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.
Journal of High Energy Physics
- Pub Date:
- June 2014
- Black Holes in String Theory;
- Supergravity Models;
- High Energy Physics - Theory
- Section 7, on the sl(2,R) symmetry, has been added. 23 pages, latex, uses jheppub.sty