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arXiv 0712.0132hep-thgr-qc
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关于AdS中超对称黑洞的唯一性(5)

On Uniqueness of supersymmetric Black holes in AdS(5)

Pedro J. Silva

摘要:

本文研究了在5D规范超引力的$U(1)^3$模型中存在具有五个独立荷的球形和环形视界拓扑黑洞的可能性。为了研究这些可能性,我们不仅考虑了局部超对称分析得到的已知结果,而且还考虑了来自解的非局部性质的输入,如吸引子机制,Sen的熵函数,欧几里得公式和提升到10维的一般性质。对于球形的情况,我们发现,没有比在hep-th/0601156中已经描述的更一般的黑洞的空间。另一方面,如果环视界拓扑的解存在,我们得出结论,它必须被标记为三个独立的参数,因为它必须满足两个独立的约束,我们明确地发现在其化学势。最后,基于所有的定域和非定域信息,我们提出了一个关于一般黑洞与${\cal N}=4$ SYM对偶的约束条件的猜想.

英文摘要:

We study the possibility of having Black hole of spherical and ring horizon topology with five independent charges in the $U(1)^3$-model of 5D gauge supergravity. To study these possibilities we consider not only the known result obtained by local supersymmetry analysis but include the input coming from non-local properties of the solutions, like the attractor mechanism, the entropy function of Sen, the Euclidean formulation and general properties of the uplift to ten dimension. For the spherical case, we found that there is no room for more general Black holes than the ones already describe in hep-th/0601156. On the other hand, if a solution of ring horizon topology exists, we conclude that it must be labeled by three independent parameters only, since it has to satisfy two independent constraints that we explicitly find in terms of its chemical potentials. At the end of the article, based on all the local and non-local information, we put forward a conjecture on the constraints that characterize general Black holes dual to ${\cal N}=4$ SYM.

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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