### Resumen

We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S ^{1} × _{h}, where _{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.

Idioma original | English |
---|---|

Número de artículo | 061 |

Publicación | Journal of High Energy Physics |

Volumen | 2008 |

N.º | 1 |

DOI | |

Estado | Published - 2008 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

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*Journal of High Energy Physics*,

*2008*(1), [061]. https://doi.org/10.1088/1126-6708/2008/01/061

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*Journal of High Energy Physics*, vol. 2008, n.º 1, 061. https://doi.org/10.1088/1126-6708/2008/01/061

**Black strings in AdS _{5} .** / Bernamonti, Alice; Caldarelli, Marco M.; Klemm, Dietmar; Olea, Rodrigo; Sieg, Christoph; Zorzan, Emanuele.

Resultado de la investigación: Article

TY - JOUR

T1 - Black strings in AdS 5

AU - Bernamonti, Alice

AU - Caldarelli, Marco M.

AU - Klemm, Dietmar

AU - Olea, Rodrigo

AU - Sieg, Christoph

AU - Zorzan, Emanuele

PY - 2008

Y1 - 2008

N2 - We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S 1 × h, where 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.

AB - We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S 1 × h, where 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.

KW - AdS-CFT Correspondence

KW - Black Holes

KW - Classical Theories of Gravity

KW - P-branes

UR - http://www.scopus.com/inward/record.url?scp=84856398778&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2008/01/061

DO - 10.1088/1126-6708/2008/01/061

M3 - Article

AN - SCOPUS:84856398778

VL - 2008

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 061

ER -

_{5}Journal of High Energy Physics. 2008;2008(1). 061. https://doi.org/10.1088/1126-6708/2008/01/061