论文标题

JT重力和$ t \ bar {t} $变形中的相过渡

Phase Transition in JT Gravity and $T\bar{T}$ Deformation

论文作者

Kim, Kyung Kiu, Baek, Jong-Hyun, Seo, Yunseok

论文摘要

在本文中,我们研究了Arxiv中注意到的广义JT重力中的黑洞相变:2006.03494。我们研究了具有DILATON电位的模型中相转换对欧几里得大地测量和全息的两点功能的影响,这些模型介入了具有不同宇宙学常数的两个普通JT重力。值得注意的是,当电势具有局部负区域时,在低温阶段存在一个封闭的大地测量。该量表在两点函数中导致几个峰。我们还评论了带电的黑洞的相过渡。然后,我们考虑将广义的JT重力耦合到一个问题,并研究其与$ t \ bar {t} $在经典级别的CFT变形的关系。我们发现变形参数是DILATON的函数,并提供了显示Janus型耦合的示例。

In this paper we study a black hole phase transition in a generalized JT gravity noticed in arXiv:2006.03494. We investigate the effect of the phase transition on the Euclidean geodesic and holographic two-point function in models with dilaton potential which interpolates two ordinary JT gravities with different cosmological constants. It is noted that there exists a closed geodesic with a new scale at low temperature phase when the potential has a locally negative region. This scale causes several peaks in the two-point function. We also comment on the phase transition of charged black holes. We then consider coupling generalized JT gravity to a matter and study its relation to a $T\bar{T}$ deformation of CFT at the classical level. We find the deformation parameter as a function of the dilaton and provide examples showing Janus-type couplings.

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