Black holes with spindles at the horizon

Abstract We construct AdS4 × Σ and AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solutions in F(4) gauged supergravity in six dimensions, where Σ is a two dimensional manifold of non-constant curvature with conical singularities at its two poles, called a spindle, and Σ g $$ {\Sigma}_{\mathfrak{g}} $...

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Main Author: Suvendu Giri
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2022)145
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author Suvendu Giri
author_facet Suvendu Giri
author_sort Suvendu Giri
collection DOAJ
description Abstract We construct AdS4 × Σ and AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solutions in F(4) gauged supergravity in six dimensions, where Σ is a two dimensional manifold of non-constant curvature with conical singularities at its two poles, called a spindle, and Σ g $$ {\Sigma}_{\mathfrak{g}} $$ is a constant curvature Riemann surface of genus g $$ \mathfrak{g} $$ . We find that the first solution realizes a “topologically topological twist”, while the second class of solutions gives rise to an “anti twist”. We compute the holographic free energy of the AdS4 × Σ solution and find that it matches the entropy computed by extremizing an entropy functional that is constructed by gluing gravitational blocks. For the AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solution, we find that the Bekenstein-Hawking entropy is reproduced by extremizing an appropriately defined entropy functional, which leads us to conjecture that this solution is dual to a three dimensional SCFT on a spindle. A class of the AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solutions can be embedded in four dimensional T 3 gauged supergravity, which is a subtruncation of the six dimensional theory.
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spelling doaj.art-e8694b7d2f424762a256c4e8bf7e25172023-03-22T10:13:56ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022612410.1007/JHEP06(2022)145Black holes with spindles at the horizonSuvendu Giri0Dipartimento di Fisica, Università di Milano-BicoccaAbstract We construct AdS4 × Σ and AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solutions in F(4) gauged supergravity in six dimensions, where Σ is a two dimensional manifold of non-constant curvature with conical singularities at its two poles, called a spindle, and Σ g $$ {\Sigma}_{\mathfrak{g}} $$ is a constant curvature Riemann surface of genus g $$ \mathfrak{g} $$ . We find that the first solution realizes a “topologically topological twist”, while the second class of solutions gives rise to an “anti twist”. We compute the holographic free energy of the AdS4 × Σ solution and find that it matches the entropy computed by extremizing an entropy functional that is constructed by gluing gravitational blocks. For the AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solution, we find that the Bekenstein-Hawking entropy is reproduced by extremizing an appropriately defined entropy functional, which leads us to conjecture that this solution is dual to a three dimensional SCFT on a spindle. A class of the AdS2 × Σ × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ solutions can be embedded in four dimensional T 3 gauged supergravity, which is a subtruncation of the six dimensional theory.https://doi.org/10.1007/JHEP06(2022)145Black Holes in String TheoryAdS-CFT Correspondence
spellingShingle Suvendu Giri
Black holes with spindles at the horizon
Journal of High Energy Physics
Black Holes in String Theory
AdS-CFT Correspondence
title Black holes with spindles at the horizon
title_full Black holes with spindles at the horizon
title_fullStr Black holes with spindles at the horizon
title_full_unstemmed Black holes with spindles at the horizon
title_short Black holes with spindles at the horizon
title_sort black holes with spindles at the horizon
topic Black Holes in String Theory
AdS-CFT Correspondence
url https://doi.org/10.1007/JHEP06(2022)145
work_keys_str_mv AT suvendugiri blackholeswithspindlesatthehorizon