论文标题
关键点和霍金页过渡的拓扑
Topology of critical points and Hawking-Page transition
论文作者
论文摘要
使用Bragg-Williams构造非壳自由能，我们计算了广告中黑洞的霍金页过渡点的拓扑充电。从相关的外壳有效势中进行的计算二元组中的有效电位匹配散装中获得的拓扑电荷的值。我们还计算了这些系统的平衡阶段的拓扑充电，这些阶段是从适当的自由能的鞍点开始的。当地稳定且不稳定的相位彼此相反，总拓扑费为零，与从相关结构中获得的结果一致[ARXIV：2208.01932]。
Using the Bragg-Williams construction of an off-shell free energy we compute the topological charge of the Hawking-Page transition point for black holes in AdS. A computation following from a related off-shell effective potential in the boundary gauge dual matches the value of topological charge obtained in the bulk. We also compute the topological charges of the equilibrium phases of these systems, which follow from the saddle points of the appropriate free energy. The locally stable and unstable phases turn out to have topological charges opposite to each other, with the total being zero, in agreement with the result obtained from a related construction [arXiv:2208.01932].
