In this paper, we check the universality of the entropy product for some black hole and black ring solutions. Applying the asymptotic symmetry group (ASG) analysis, we also find the central charges of the dual CFTs for these solutions. It has been observed [ 16 ] that if the entropy product for a solution is universal, it is possible to read the central charges of the dual CFTs from the entropy product as c i ∼ ∂ ∂ N i S + S − , $$ {c}_i\sim \frac{\partial }{\partial {N}_i}\left({S}_{+}{S}_{-}\right), $$ where N i is a conserved charge of the solution like angular momentum or electric charge. In this work we consider some other families of solutions and we check that the same behavior is valid for them. Moreover, in the case of solutions containing the conical singularity, we find the central charges using the ASG analysis. We show that the central charges receive a contribution from the conical characteristic κ of the solution, however it is still possible to read the central charges from the entropy product.

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关于熵积和双 CFT 的更多信息

在本文中，我们检查了一些黑洞和黑环解的熵积的普遍性。应用渐近对称群 (ASG) 分析，我们还找到了这些解决方案的双 CFT 的中心电荷。已经观察到 [ 16 ] 如果解的熵积是通用的，则可以从熵积中读取对偶 CFT 的中心电荷为 ci ∼ ∂ ∂ N i S + S − , $$ {c }_i\sim \frac{\partial }{\partial {N}_i}\left({S}_{+}{S}_{-}\right), $$ 其中 N i 是解决方案，如角动量或电荷。在这项工作中，我们考虑了其他一些解决方案系列，并检查相同的行为是否对它们有效。此外，在包含圆锥奇点的解的情况下，我们使用 ASG 分析找到中心电荷。