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arXiv 0708.2402hep-thgr-qc
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AdS_5中的黑色字符串

Black strings in AdS_5

Alice Bernamonti, Marco M. Caldarelli, Dietmar Klemm, Rodrigo Olea, Christoph Sieg, Emanuele Zorzan

摘要:

我们提出了五维规范超引力中的非极值磁黑弦解。共形无穷大是时间和S^1xS_h的乘积,其中S_h表示亏格为h的紧致黎曼曲面。的建设是基于分析和数值技术。我们计算全息应力张量,欧几里德作用和守恒电荷的解决方案,并表明后者满足Smarr型公式。的相结构中确定的正则系综,它示出,有一个一阶相变从小到大的黑弦,它消失在一定的临界磁荷,得到的数值。对于另一个特定的磁荷值,即对应于对偶超杨-米尔斯理论的扭曲,来自背景曲率的共形反常和来自与外部规范场耦合的共形反常正好抵消。我们还获得了描述极端BPS磁黑弦上波传播的超对称解,并证明了它们具有Siklos-Virasoro重参数化不变性。

英文摘要:

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.

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