论文标题
在有限温度下具有DILATON场的Randall-Sundrum模型
Randall-Sundrum Model with a Dilaton Field at Finite Temperature
论文作者
论文摘要
我们发现$ d = 5 $ Einstein-Dilaton重力的确切有限温度解决方案,带有黑色麸皮和randall-sundrum 3-Brane。我们表明,这些模型存在独特的生成超电势。黑褐色的位置和相关的鹰温度取决于3-布兰张力的值,而其他参数则固定。提出了这些解决方案的热力学,我们从中表明熵满足$ s <\ text {vol}(\ mathbb {r}^3)/4G_5 $。我们证明,在某个限制中,该理论的量规有效地降低至$ \ mathcal {n} = 4 $ sym在有限温度下在$ s^1 \ times \ times \ mathbb {r}^3 $上
We find exact finite temperature solutions to $d=5$ Einstein-dilaton gravity with black branes and a Randall--Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the the 3-brane tension while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies $S<\text{Vol}(\mathbb{R}^3)/4G_5$. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to $\mathcal{N}=4$ SYM at finite temperature on $S^1\times\mathbb{R}^3$