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arXiv 1406.0666hep-th
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非极值AdS黑洞和质量的全息重整化一阶流

First order flow for non-extremal AdS black holes and mass from holographic renormalization

A. Gnecchi, C. Toldo

摘要:

本文给出了四维$\mathcal{N}=2$ U(1)规范超引力中Anti-de Sitter黑洞非极值解的一阶形式。动力学根据量$\mathcal{W}$来确定,该量在动作中起到测量电势的超电势的作用。我们将展示如何一阶流所产生的书面行动的平方和,我们确定的超势驱动的两类解决方案(电和磁)的$t^3$模型的一阶流。在识别了$\mathcal{W}$之后,我们研究了存在混合边界条件的标量场的Hamilton-Jacobi全息重整化过程。我们计算了重正化壳层作用量和黑洞组态的质量。得到的质量表达式满足热力学热力学第一定律。

英文摘要:

In this paper we present a first order formulation for non-extremal Anti-de Sitter black hole solutions in four dimensional $\mathcal{N}=2$ U(1)-gauged Supergravity. The dynamics is determined in terms of a quantity $\mathcal{W}$ which plays the role of a superpotential for the gauging potential in the action. We show how the first order flow arises from writing the action as a sum of squares and we identify the superpotential driving the first order flow for two classes of solutions (electric and magnetic) of the $t^3$ model. After identifying $\mathcal{W}$, we study the Hamilton-Jacobi holographic renormalization procedure in presence of mixed boundary conditions for the scalar fields. We compute the renormalized on-shell action and the mass of the black hole configurations. The expression obtained for the mass satisfies the first law of thermodynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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