Critical Kaluza-Klein black holes and black strings in D = 10

Abstract We construct static vacuum localized black holes and non-uniform black strings in ten spacetime dimensions, where one of the dimension is compactified on a circle. We study the phase diagram of black objects with these boundary conditions, especially near the critical point where localized...

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Main Authors: Biel Cardona, Pau Figueras
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2018)120
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author Biel Cardona
Pau Figueras
author_facet Biel Cardona
Pau Figueras
author_sort Biel Cardona
collection DOAJ
description Abstract We construct static vacuum localized black holes and non-uniform black strings in ten spacetime dimensions, where one of the dimension is compactified on a circle. We study the phase diagram of black objects with these boundary conditions, especially near the critical point where localized black holes and non-uniform black strings merge. Remarkably, we find that the merger happens at a cusp in the phase diagram. We verify that the critical geometry is controlled by a Ricci-flat double-cone as previously predicted. However, unlike the lower dimensional cases, we find that physical quantities approach to their critical values according to a power law plus a logarithmic correction. We extract the critical exponents and find very good agreement with the predictions from the double-cone geometry. According to holography, localized black holes and black strings are dual to thermal states of (1 + 1)-dimensional SU(N) maximal Super-Yang Mills theory compactified on a circle; we recover and extend the details of the (recently found) 1st order phase transition in this system from the gravity side.
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spelling doaj.art-55fa6405b4e94a2db11c889ac9e57ebf2022-12-21T23:42:27ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181113910.1007/JHEP11(2018)120Critical Kaluza-Klein black holes and black strings in D = 10Biel Cardona0Pau Figueras1School of Mathematical Sciences, Queen Mary University of LondonSchool of Mathematical Sciences, Queen Mary University of LondonAbstract We construct static vacuum localized black holes and non-uniform black strings in ten spacetime dimensions, where one of the dimension is compactified on a circle. We study the phase diagram of black objects with these boundary conditions, especially near the critical point where localized black holes and non-uniform black strings merge. Remarkably, we find that the merger happens at a cusp in the phase diagram. We verify that the critical geometry is controlled by a Ricci-flat double-cone as previously predicted. However, unlike the lower dimensional cases, we find that physical quantities approach to their critical values according to a power law plus a logarithmic correction. We extract the critical exponents and find very good agreement with the predictions from the double-cone geometry. According to holography, localized black holes and black strings are dual to thermal states of (1 + 1)-dimensional SU(N) maximal Super-Yang Mills theory compactified on a circle; we recover and extend the details of the (recently found) 1st order phase transition in this system from the gravity side.http://link.springer.com/article/10.1007/JHEP11(2018)120AdS-CFT CorrespondenceBlack Holes
spellingShingle Biel Cardona
Pau Figueras
Critical Kaluza-Klein black holes and black strings in D = 10
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
title Critical Kaluza-Klein black holes and black strings in D = 10
title_full Critical Kaluza-Klein black holes and black strings in D = 10
title_fullStr Critical Kaluza-Klein black holes and black strings in D = 10
title_full_unstemmed Critical Kaluza-Klein black holes and black strings in D = 10
title_short Critical Kaluza-Klein black holes and black strings in D = 10
title_sort critical kaluza klein black holes and black strings in d 10
topic AdS-CFT Correspondence
Black Holes
url http://link.springer.com/article/10.1007/JHEP11(2018)120
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