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Index theory and dynamical symmetry enhancement of M-horizons

Gutowski, JB and Papadopoulos, G (2013) Index theory and dynamical symmetry enhancement of M-horizons JHEP 05 (2013) 088.

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Papadopoulos, G
Date : 4 March 2013
DOI : 10.1007/JHEP05(2013)088
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:46
Last Modified : 10 Jun 2019 13:15

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