arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.2225hep-th
收藏

不同维数下的Kerr- AdS/CFT Correspondence

Kerr-AdS/CFT Correspondence in Diverse Dimensions

H. Lu, Jianwei Mei, C. N. Pope

摘要:

最近有人提出,极端四维克尔黑洞的近视界态可以用某种手征共形场论来识别,其维拉索罗代数作为近视界克尔几何的渐进对称代数而产生。支持这种对偶性的证据来自于CFT的微观熵(用卡迪公式计算)和极端克尔黑洞的贝肯斯坦-霍金熵相等。在本文中,我们将在更广泛的背景下研究拟议的克尔/CFT对应。特别是,我们表明,微观熵和Bekenstein-Hawking熵同意也为极端的Kerr-AdS度量在四维,也为极端的Kerr-AdS度量在5,6和7维。给出了所有高维数的一般公式。

英文摘要:

It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

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。

↑