紧化AdS黑洞、Chamblin-Reall背景及其对偶非共形相对论流体
Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids
摘要：
Chamblin-Reall背景是爱因斯坦引力与背景标量场和动力学畴壁耦合的静态解，其中标量场的势是Liouville型的。它可以通过对具有恒定电势的高维背景进行降维来获得。紧化AdS黑洞是将高维AdS黑洞的一个或多个空间方向包裹在环面上，然后将它们积分出来而构成的黑洞背景。紧化的AdS黑洞背景是渐近平坦的、非共形的、Chamblin-Reall型的。在这项工作中，我们通过流体/重力对应，导出了所有7个相对论流体的二阶动力学输运系数对偶紧致AdS黑洞的各种尺寸。（1）证明了迄今为止所有可用于提取二阶输运系数解析结果的引力背景都是Chamblin-Reall型背景。(2)本文将以往关于相对论性流体与5维Chamblin-Reall模型对偶的二阶输运系数的研究结果推广到一般维。(3)我们对Kanitscheider-Skenderis提案进行了彻底的研究，并找到了它的实物账户。
英文摘要：
The Chamblin-Reall background is a static solution of Einstein gravity coupled with a background scalar field and a dynamical domain wall, with the potential of the scalar field being of Liouville type. It can be got by dimensionally reducing a higher dimensional background with a constant potential. Compactified AdS black holes are black hole backgrounds constructed by wrapping one or more spatial directions of a higher dimensional AdS black hole on a torus and then integrating them out. The compactified AdS black hole background is asymptotically flat, non-conformal, and of Chamblin-Reall type. In this work, we derive all the 7 dynamical second-order transport coefficients for the relativistic fluids dual to compactified AdS black holes of various dimensions via fluid/gravity correspondence. Through this work, we achieve three main goals: (1) We prove that all the gravitational backgrounds that can be used to extract analytical results for second-order transport coefficients hitherto are all Chamblin-Reall type backgrounds. (2) We generalize the results in previous studies on the second-order transport coefficients of the relativistic fluids dual to 5-dimensional Chamblin-Reall model into general dimensions. (3) We offer a thorough study on the Kanitscheider-Skenderis proposal and find its physical accounts.
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