标题： 规范超引力中静态多电荷AdS黑洞的拓扑类热力学：新温度相关的热力学拓扑相变 显示英文标题

标题： Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition

摘要： 本文在黑洞热力学的拓扑方法框架内，利用广义非约束态亥姆霍兹自由能，研究了四维和五维规范超引力中的静态多荷AdS黑洞的拓扑数。 我们发现，在四维Kaluza-Klein（KK）规范超引力理论中的静态带电AdS黑洞的拓扑数为$W = 0$，而在四维带电的$-iX^0X^1$超引力和STU规范超引力理论以及五维爱因斯坦-麦克斯韦-标量-轴子（EMDA）规范超引力和STU规范超引力中的静态带电AdS黑洞，以及五维静态带电AdS Horowitz-Sen黑洞的拓扑数均为$W = 1$。 此外，我们观察到一种新的温度相关的热力学拓扑相变现象，这种相变可以在EMDA规范超引力理论中的四维静态带电AdS黑洞、四维静态带电AdS Horowitz-Sen黑洞以及KK规范超引力理论中的五维静态带电AdS黑洞中发生。 我们认为，这种新的温度相关的热力学拓扑相变可能有助于我们更好地理解黑洞热力学，并进一步揭示规范超引力理论的基本性质。 显示英文摘要

摘要： In this paper, we investigate, in the framework of the topological approach to black hole thermodynamics, using the generalized off-shell Helmholtz free energy, the topological numbers of the static multi-charge AdS black holes in four- and five-dimensional gauged supergravities. We find that the topological number of the static-charged AdS black holes in four-dimensional Kaluza-Klein (K-K) gauged supergravity theory is $W = 0$, while that of the static-charged AdS black holes in four-dimensional gauged $-iX^0X^1$-supergravity and STU gauged supergravity theories, and five-dimensional Einstein-Maxwell-dilaton-axion (EMDA) gauged supergravity and STU gauged supergravity, and five-dimensional static-charged AdS Horowitz-Sen black hole are both $W = 1$. Furthermore, we observe a novel temperature-dependent thermodynamic topological phase transition that can happen in the four-dimensional static-charged AdS black hole in EMDA gauged supergravity theory, the four-dimensional static-charged AdS Horowitz-Sen black hole, and the five-dimensional static-charged AdS black hole in K-K gauged supergravity theory. We believe that the novel temperature-dependent thermodynamic topological phase transition could help us better understand black hole thermodynamics and, further, shed new light on the fundamental nature of gauged supergravity theories.