Phase Transition in JT Gravity and $T\bar{T}$ Deformation
Abstract
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 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.
Cite
@article{arxiv.2012.11871,
title = {Phase Transition in JT Gravity and $T\bar{T}$ Deformation},
author = {Kyung Kiu Kim and Jong-Hyun Baek and Yunseok Seo},
journal= {arXiv preprint arXiv:2012.11871},
year = {2021}
}
Comments
22 pages, 10 figures; v2, minor clarification in sec.2, references added