A family of deformed AdS₅–Schwarzschild black branes is here derived, employing the membrane paradigm of AdS/CFT. The solution of the Einstein–Hilbert action, with the Gibbons–Hawking term and a counter-term that eliminates eventual divergences, yields a partition function associated to the dual theory which allows the computation of the entropy, pressure and free energy, as state functions, in the canonical ensemble. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio, then restricting the range of the parameter that defines a family of deformed black branes.

中文翻译：

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AdS ₅ –Schwarzschild变形的黑色黄铜和流体动力传输系数

此处采用AdS / CFT的膜范例，得出了变形的AdS ₅ –Schwarzschild黑色麸皮家族。爱因斯坦-希尔伯特作用的解决方案以及吉本斯-霍金术语和消除最终分歧的对立项，产生了与二元理论相关的分配函数，该函数允许将熵，压力和自由能作为状态函数进行计算，在规范合奏中。然后实施AdS / CFT近视水平方法来计算剪切粘度与熵之比，然后限制定义变形的黑麸系列的参数范围。