We show that the horizon geometry for supersymmetric black hole solutions of minimal five-dimensional gauged supergravity is that of a particular Einstein-Cartan-Weyl (ECW) structure in three dimensions, involving the trace and traceless part of both torsion and nonmetricity, and obeying some precise constraints. In the limit of zero cosmological constant, the set of nonlinear partial differential equations characterizing this ECW structure reduces correctly to that of a hyper-CR Einstein-Weyl structure in the Gauduchon gauge, which was shown by Dunajski, Gutowski and Sabra to be the horizon geometry in the ungauged BPS case.

Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces / D.S. Klemm, L. Ravera. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 793(2019), pp. 265-270. [10.1016/j.physletb.2019.04.061]

Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces

D.S. Klemm
;
2019

Abstract

We show that the horizon geometry for supersymmetric black hole solutions of minimal five-dimensional gauged supergravity is that of a particular Einstein-Cartan-Weyl (ECW) structure in three dimensions, involving the trace and traceless part of both torsion and nonmetricity, and obeying some precise constraints. In the limit of zero cosmological constant, the set of nonlinear partial differential equations characterizing this ECW structure reduces correctly to that of a hyper-CR Einstein-Weyl structure in the Gauduchon gauge, which was shown by Dunajski, Gutowski and Sabra to be the horizon geometry in the ungauged BPS case.
Metric affine gravity; Near horizon geometry; Supergravity; Supersymmetry; High Energy Physics - Theory; High Energy Physics - Theory; General Relativity and Quantum Cosmology; Mathematical Physics; Mathematics - Differential Geometry; Mathematics - Mathematical Physics
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/828682
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