Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle

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dc.creatorAharony, Ofer
dc.creatorMarsano, Joe
dc.creatorMinwalla, Shiraz
dc.creatorWiseman, Toby
dc.date2004-06-23
dc.date2004-08-20
dc.date.accessioned2026-07-07T10:30:03Z
dc.date.available2026-07-07T10:30:03Z
dc.descriptionWe review and extend earlier work that uses the AdS/CFT correspondence to relate the black hole-black string transition of gravitational theories on a circle to a phase transition in maximally supersymmetric 1+1-dimensional SU(N) gauge theories at large N, again compactified on a circle. We perform gravity calculations to determine a likely phase diagram for the strongly coupled gauge theory. We then directly study the phase structure of the same gauge theory, now at weak 't Hooft coupling. In the interesting temperature regime for the phase transition, we may reduce the 1+1-dimensional theory to a 0+1-dimensional bosonic theory, which we solve using Monte Carlo methods. We find strong evidence that the weakly coupled gauge theory also exhibits a black hole-black string like phase transition in the large N limit. We demonstrate that a simple Landau-Ginzburg like model describes the behaviour near the phase transition remarkably well. The weak coupling transition appears to be close to the cusp between a first order and a second order transition.
dc.description21 pages, revtex, 11 figures. v2: small corrections, added references and a new appendix on the relation of our work to previous discussions of the same theory
dc.identifierhttps://arxiv.org/abs/hep-th/0406210
dc.identifierhttp://arxiv.org/abs/hep-th/0406210
dc.identifierClass.Quant.Grav.21:5169-5192,2004
dc.identifierdoi:10.1088/0264-9381/21/22/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178021
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleBlack hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
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