论文标题
3D重力中热力学方法的中心电荷
Central charges from Thermodynamics method in 3D gravity
论文作者
论文摘要
在Guage/Gravity二元性的背景下，我们研究了可能生活在黑孔的热力学方面的一些三维（3D）重力模型的边界上的许多二维形成形式野外理论（CFT）的中心电荷。对于许多黑洞溶液，内部库奇和外部事件视野的熵产物是通用的（质量独立的）。有人提出，对于这些解决方案，双CFT的左和右移动部门的中心电荷应该相同，并且可以阅读通用熵产品的中心电荷。这为调查BTZ和扭曲广告的这种处方的动机提供了强大的动机，其中许多3D重力理论都在黑洞中进行了黑洞，我们将证明该提案确实有效。我们分析的一个显着结果是，如果熵产物在任何3D重力理论中都不是普遍的，则左中央电荷不相等。
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.
