We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S^1xS_h, where S_h denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compute the holographic stress tensor, the Euclidean action and the conserved charges of the solutions and show that the latter satisfy a Smarr-type formula. The phase structure is determined in the canonical ensemble, and it is shown that there is a first order phase transition from small to large black strings, which disappears above a certain critical magnetic charge that is obtained numerically. For another particular value of the magnetic charge, that corresponds to a twisting of the dual super Yang-Mills theory, the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel. We also obtain supersymmetric solutions describing waves propagating on extremal BPS magnetic black strings, and show that they possess a Siklos-Virasoro reparametrization invariance.

Black strings in AdS(5) / A. Bernamonti, M.M. Caldarelli, D. Klemm, R. Olea, C. Sieg, E. Zorzan. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2008:01(2008), pp. 061.061.1-061.061.33. [10.1088/1126-6708/2008/01/061]

Black strings in AdS(5)

M.M. Caldarelli
Secondo
;
D. Klemm;E. Zorzan
Ultimo
2008

Abstract

We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S^1xS_h, where S_h denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compute the holographic stress tensor, the Euclidean action and the conserved charges of the solutions and show that the latter satisfy a Smarr-type formula. The phase structure is determined in the canonical ensemble, and it is shown that there is a first order phase transition from small to large black strings, which disappears above a certain critical magnetic charge that is obtained numerically. For another particular value of the magnetic charge, that corresponds to a twisting of the dual super Yang-Mills theory, the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel. We also obtain supersymmetric solutions describing waves propagating on extremal BPS magnetic black strings, and show that they possess a Siklos-Virasoro reparametrization invariance.
AdS/CFT correspondence ; black holes ; classical theories of gravity ; p-branes
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/41037
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