Index Theory and Supersymmetry of 5D Horizons - INSPIRE

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Index Theory and Supersymmetry of 5D Horizons

J. Grover
(
- Aveiro U.
)
,
J.B. Gutowski
(
- Surrey U., Math. Stat. Dept.
)
,
G. Papadopoulos
(
- Imperial Coll., London
)
,
W.A. Sabra
(
- American U. of Beirut
)

Mar 4, 2013

24 pages

Published in:

JHEP 06 (2014) 020

Published: 2014

e-Print:

1303.0853 [hep-th]

DOI:

10.1007/JHEP06(2014)020

Report number:

DMUS--MP--13-06

View in:

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Abstract: (arXiv)

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

\mathfrak{sl}(2, {\mathbb{R}})

symmetry subalgebra.

Note:

Section 7, on the sl(2,R) symmetry, has been added. 23 pages, latex, uses jheppub.sty

Black Holes in String Theory
Supergravity Models
dimension: 5
operator: Dirac
horizon
supersymmetry
anti-de Sitter
index theorem
supergravity

References(30)

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