论文标题

有关熵产品和双CFT的更多信息

More on the Entropy Product and Dual CFTs

论文作者

Golchin, Hanif

论文摘要

在本文中,我们检查了一些黑洞和黑环解决方案的熵产品的通用性。应用渐近对称组(ASG)分析,我们还为这些解决方案找到了双CFT的中心电荷。 It has been observed \cite{Chen:2013rb} 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 $c_i \sim \frac{\partial}{\partial N_i}(S_+S_-)$, where $N_i$ is a conserved charge of the solution like angular momentum or electric charge.在这项工作中,我们考虑了其他一些解决方案家庭,并检查了相同的行为对他们有效。此外,在包含圆锥形奇点的溶液的情况下,我们使用ASG分析发现了中心电荷。我们表明,中央电荷从溶液的锥形特性$κ$中获得了贡献,但是仍然可以阅读熵产品中的中央电荷。

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 \cite{Chen:2013rb} 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 $c_i \sim \frac{\partial}{\partial N_i}(S_+S_-)$, 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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