Index theory and supersymmetry of 5D horizons

TY - JOUR

T1 - Index theory and supersymmetry of 5D horizons

AU - Grover, J.

AU - Gutowski, J.

AU - Papadopoulos, G.

AU - Sabra, W. A.

PY - 2014/6/4

Y1 - 2014/6/4

N2 - 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.

AB - 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.

KW - Black Holes in String Theory

KW - Supergravity Models

KW - BLACK-HOLE

KW - SUPERGRAVITY

KW - SYMMETRIES

KW - UNIQUENESS

KW - PREONS

U2 - 10.1007/JHEP06(2014)020

DO - 10.1007/JHEP06(2014)020

M3 - Article

SN - 1029-8479

VL - 2014

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 20

ER -