Index theory and dynamical symmetry enhancement of M-horizons

J. Gutowski; G. Papadopoulos

doi:10.1007/JHEP05(2013)088

Index theory and dynamical symmetry enhancement of M-horizons

J. Gutowski^*, G. Papadopoulos

^*Corresponding author for this work

University of Surrey

Research output: Contribution to journal › Article › peer-review

22 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 language	English
Article number	088
Number of pages	22
Journal	Journal of High Energy Physics
Volume	2013
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2013)088
Publication status	Published - May 2013

Keywords

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

Access to Document

10.1007/JHEP05(2013)088

Cite this

@article{0b2f31b311ab4b2eb756f17d03cfe786,

title = "Index theory and dynamical symmetry enhancement of M-horizons",

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.",

keywords = "Black Holes in String Theory, Supergravity Models, BLACK-HOLE, SUPERGRAVITY, UNIQUENESS, DIMENSIONS",

author = "J. Gutowski and G. Papadopoulos",

year = "2013",

month = may,

doi = "10.1007/JHEP05(2013)088",

language = "English",

volume = "2013",

journal = "Journal of High Energy Physics",

issn = "1029-8479",

publisher = "IOP Publishing",

number = "5",

}

TY - JOUR

T1 - Index theory and dynamical symmetry enhancement of M-horizons

AU - Gutowski, J.

AU - Papadopoulos, G.

PY - 2013/5

Y1 - 2013/5

N2 - 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.

AB - 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.

KW - Black Holes in String Theory

KW - Supergravity Models

KW - BLACK-HOLE

KW - SUPERGRAVITY

KW - UNIQUENESS

KW - DIMENSIONS

U2 - 10.1007/JHEP05(2013)088

DO - 10.1007/JHEP05(2013)088

M3 - Article

SN - 1029-8479

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 088

ER -

Index theory and dynamical symmetry enhancement of M-horizons

Abstract

Keywords

Access to Document

Fingerprint

Cite this