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

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

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 precis...

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Main Authors: Dietmar Silke Klemm, Lucrezia Ravera
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319302953
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spelling doaj-5e954b440f3746aa892db407025041ae2020-11-25T02:03:36ZengElsevierPhysics Letters B0370-26932019-06-01793265270Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spacesDietmar Silke Klemm0Lucrezia Ravera1Dipartimento di Fisica, Università di Milano, Via Celoria 16, 20133 Milano, Italy; INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, ItalyINFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy; Corresponding author.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. Keywords: Supersymmetry, Supergravity, Near horizon geometry, Metric affine gravityhttp://www.sciencedirect.com/science/article/pii/S0370269319302953
collection DOAJ
language English
format Article
sources DOAJ
author Dietmar Silke Klemm
Lucrezia Ravera
spellingShingle Dietmar Silke Klemm
Lucrezia Ravera
Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
Physics Letters B
author_facet Dietmar Silke Klemm
Lucrezia Ravera
author_sort Dietmar Silke Klemm
title Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
title_short Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
title_full Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
title_fullStr Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
title_full_unstemmed Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
title_sort supersymmetric near-horizon geometry and einstein-cartan-weyl spaces
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-06-01
description 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. Keywords: Supersymmetry, Supergravity, Near horizon geometry, Metric affine gravity
url http://www.sciencedirect.com/science/article/pii/S0370269319302953
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AT lucreziaravera supersymmetricnearhorizongeometryandeinsteincartanweylspaces
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