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Dynamical symmetry enhancement near N = 2, D = 4 gauged supergravity horizons

Gutowski, Jan, Mohaupt, T. and Papadopoulos, G. (2017) Dynamical symmetry enhancement near N = 2, D = 4 gauged supergravity horizons Journal of High Energy Physics, 150.

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We show that all smooth Killing horizons with compact horizon sections of 4-dimensional gauged N = 2 supergravity coupled to any number of vector multiplets preserve 2c1(K) + 4` supersymmetries, where K is a pull-back of the Hodge bundle of the special Kahler manifold on the horizon spatial section. We also demonstrate that all such horizons with c1(K) = 0 exhibit an sl(2;R) symmetry and preserve either 4 or 8 supersymmetries. If the orbits of the sl(2;R) symmetry are 2-dimensional, the horizons are warped products of AdS2 with the horizon spatial section. Otherwise, the horizon section admits an isometry which preserves all the fields. The proof of these results is centered on the use of index theorem in conjunction with an appropriate generalization of the Lichnerowicz theorem for horizons that preserve at least one supersymmetry. In all c1(K) = 0 cases, we specify the local geometry of spatial horizon sections and demonstrate that the solutions are determined by first order non-linear ordinary differential equations on some of the fields.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Mohaupt, T.
Papadopoulos, G.
Date : 28 March 2017
DOI : 10.1007/JHEP03(2017)150
Copyright Disclaimer : © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : Black Holes; Black Holes in String Theory; Supergravity Models
Depositing User : Clive Harris
Date Deposited : 09 Jun 2017 08:21
Last Modified : 10 Jun 2019 13:04

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