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Non-abelian 4-d black holes, wrapped 5-branes, and their dual descriptions

Gubser, Steven S. and Tseytlin, Arkady A. and Volkov, Mikhail S. (2001) Non-abelian 4-d black holes, wrapped 5-branes, and their dual descriptions. Journal of High Energy Physics, 2001 (9). Art. no. -017. ISSN 1126-6708. doi:10.1088/1126-6708/2001/09/017.

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We study extremal and non-extremal generalizations of the regular non-abelian monopole solution of [23], interpreted in [9] as 5-branes wrapped on a shrinking S-2. Naively, the low energy dynamics is pure N = 1 supersymmetric Yang-Mills. However, our results suggest that the scale of confinement and chiral symmetry breaking in the Yang-Mills theory actually coincides with the Hagedorn temperature of the little string theory. We find solutions with regular horizons and arbitrarily high Hawking temperature. Chiral symmetry is restored at high energy density, corresponding to large black holes. But the entropy of the black hole solutions decreases as one proceeds to higher temperatures, indicating that there is a thermodynamic instability and that the canonical ensemble is ill-defined. For certain limits of the black hole solutions, we exhibit explicit non-linear sigma models involving a linear dilaton. In other limits we find extremal non-BPS solutions which may have some relevance to string cosmology.

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Additional Information:© Institute of Physics and IOP Publishing Limited 2001. Received 5 September 2001, accepted for publication 11 September 2001. Published 19 October 2001. We are grateful to I. Klebanov for participation at an initial stage of this work and many useful discussions. The work of S.S.G. is supported in part by the DOE under grant DE-FG03-92ER40701. The work of A.A.T. is partially supported by the DOE grant DE-FG02-91ER40690, PPARC SPG grant 00613, INTAS project 991590 and CRDF Award RPI-2108. Part of this work was done while S.S.G. and A.A.T. were participating in the M-theory program at ITP, Santa Barbara, supported by the NSF grant PHY99-07949. M.S.V. would like to acknowledge discussions with G.W. Gibbons, and also with D. Maison, who was the first to numerically observe the existence of the first integral (4.37). The work of M.S.V. is supported by the DFG grant Wi 777/4-3.
Subject Keywords:superstring vacua, AdS-CFT correspondance, black holes, N=4 GAUGED SUPERGRAVITY, STRING THEORY, GRAVITY DUALS, STABILITY, SOLITONS, WALL, FLOW
Issue or Number:9
Record Number:CaltechAUTHORS:GUBjhep01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:589
Deposited By: Tony Diaz
Deposited On:31 Aug 2005
Last Modified:08 Nov 2021 19:03

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