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Jackiw-Teitelboim gravity and the models of a Hawking-Page transition for 2D black holes

机译：Jackiw-Teitelboim重力和鹰派页面的模型2D黑洞

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摘要

We propose a top down construction for Jackiw-Teitelboim (JT) gravity using compactification of D = 5 gravity theories in the presence of Abelian [ U ( 1 ) ] as well as S U ( 2 ) Yang-Mills fields. The background solutions corresponding to the D = 2 model have been obtained in the perturbative regime of the theory where the corrections have been estimated over the uncharged JT solutions while treating the gauge couplings as the parameters of the expansion. Our analysis reveals the existence of two classes of solutions, namely, (i)?the interpolating vacuum solution with AdS 2 in the IR and Lifshitz 2 in the UV (which serves as the thermal radiation background for our analysis) and (ii)?the charged 2D black hole solution exhibiting Lifshitz 2 asymptotics. The analysis on thermal stability reveals the onset of a first-order phase transition at T ～ T 0 such that for T < T 0 the only possible state is the thermal radiation background without any black hole. On the other hand, as the temperature is gradually increased beyond a certain crossover value T ～ T 2 ( > T 0 ) , an emerging globally stable black-hole-dominated phase has been observed which clearly indicates the onset of a Hawking-Page transition in 2D gravity models.
机译：我们提出了在Abelian [U（1）]存在下的D = 5重力理论的Compactions的jackiw-teitelboim（JT）重力的顶部结构。已经在理论的扰动制度中获得了对应于D = 2模型的背景解决方案，其中通过不带电的JT解决方案估计了校正，同时将仪表耦合作为扩展的参数。我们的分析揭示了两类解决方案的存在，即（i）？在UV中的IR和Lifshitz 2中的ADS 2内插真空溶液（其用作我们分析的热辐射背景）和（ II）？带有Lifshitz 2渐近学的带电的2D黑洞解决方案。热稳定性的分析显示在T〜T 0处的一阶相转变的开始，使得对于T T 0），已经观察到出现的稳定的黑孔占主导地相，这清楚地表明了发作在2D重力模型中的霍金 - 页面过渡。

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