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arXiv 2004.00866hep-th
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三维重力场热力学方法中的中心荷

Central charges from Thermodynamics method in 3D gravity

Davood Mahdavian Yekta, Hanif Golchin

摘要:

在规范/引力对偶的背景下,我们从黑洞的热力学角度研究了一些可能存在于三维引力玩具模型边界上的二维共形场论(CFTs)的中心荷.对于许多黑洞解,内柯西视界和外事件视界的熵积是普适的(与质量无关)。对于这些解,提出了双CFTs的左移扇区和右移扇区的中心荷应该相同,并且可以从普适熵积读取中心荷。这为在一些3D引力理论中研究BTZ和扭曲AdS $_{3}$黑洞的这个处方提供了强烈的动机,我们将证明这个建议确实有效。我们分析的一个显著结果是,如果熵积在任何三维引力理论中都不是普适的,那么左右中心荷就不相等。

英文摘要:

In the context of guage/gravity duality, we investigate the central charges of a number of 2-dimensional conformal field theories (CFTs) that might live on the boundary of some 3-dimensional (3D) toy models of gravity, from the thermodynamics aspect of the black holes. For many black hole solutions, the entropy product of the inner Cauchy and outer event horizons is universal (mass independent). It is proposed that for these solutions, the central charges of the left- and right-moving sectors of the dual CFTs should be the same and one may read the central charges from the universal entropy product. This provides strong motivations for investigating this prescription for BTZ and Warped AdS$_{3}$ black holes in a number of 3D gravity theories and we will show that the proposal works truly. One striking result of our analysis is that if the entropy product is not universal in any theory of 3D gravity, then the left and right central charges are not equal.

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