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arXiv 0903.2620hep-th
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AdS/CFT超导体的精确毛状黑洞解

An Exact Hairy Black Hole Solution for AdS/CFT Superconductors

Ding-fang Zeng

摘要:

本文给出了耦合引力的$n+1$维复标量场模型的精确多毛黑洞解。该模型的特点是一个潜在的一个参数。根据这个参数的大小,标量场的有效质量平方可以是正的,也可以是负的。不管是什么情况,有毛的黑洞在一定的温度范围内是稳定的,不会衰变成没有毛的黑洞。我们使用这个解决方案作为一个AdS/CFT超导体模型,并研究其电导率-频率关系,并发现在其他AdS/CFT超导体模型中观察到的典型特征。

英文摘要:

We provide an exact hairy black hole solution to an $n+1$ dimensional complex scalar field model coupled with gravity. The model is characterized by a potential with one parameter. Depending on the magnitude of this parameter, the effective mass square of the scalar field can be both positive and negative. No matter what case it is, there are temperature ranges in which the hairy black hole is thermodynamically stable against decaying into its no-hair counterpart. We use this solution as an AdS/CFT superconductor model and study its conductivity-frequency relation and find typical features observed in other AdS/CFT superconductor models.

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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