Title: Continuous Hawking-Page transitions in Einstein-scalar gravity Show Chinese title

Title: 爱因斯坦-纯量引力中的连续霍金-佩奇跃迁

Abstract: We investigate continuous Hawking-Page transitions in Einstein's gravity coupled to a scalar field with an arbitrary potential in the weak gravity limit. We show that this is only possible in a singular limit where the black-hole horizon marginally traps a curvature singularity. Depending on the subleading terms in the potential, a rich variety of continuous phase transitions arise. Our examples include second and higher order, including the Berezinskii-Kosterlitz-Thouless type. In the case when the scalar is dilaton, the condition for a continuous phase transition lead to (asymptotically) linear-dilaton background. We obtain the scaling laws of thermodynamic functions, as well as the viscosity coefficients near the transition. In the limit of weak gravitational interactions, the bulk viscosity asymptotes to a universal constant, independent of the details of the scalar potential. As a byproduct of our analysis we obtain a one-parameter family of kink solutions in arbitrary dimension d that interpolate between AdS near the boundary and linear-dilaton background in the deep interior. The continuous Hawking-Page transitions found here serve as holographic models for normal-to superfluid transitions. Show Chinese abstract

Abstract: 我们研究了爱因斯坦引力与具有任意势的标量场耦合情况下的连续Hawking-Page跃迁弱引力极限。 我们证明，这仅可能出现在一个奇异极限中，在该极限下黑洞视界边缘捕获曲率奇异性。 根据势中的次主导项，会出现各种各样的连续相变。 我们的例子包括二阶和更高阶，包括Berezinskii-Kosterlitz-Thouless型。 当标量为dilaton时，连续相变的条件导致（渐近）线性dilaton背景。 我们得到了热力学函数的标度定律以及跃迁附近的粘度系数。 在弱引力相互作用极限下，体积粘度趋于一个与标量势细节无关的普适常数。 作为我们分析的一个副产品，我们在任意维度d上得到了一族单参数kink解，这些解在边界附近的AdS与深内部的线性dilaton背景之间插值。 这里发现的连续Hawking-Page跃迁作为正常到超流体跃迁的全息模型。