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

Jong-Hyun Baek; Kyung Kiu Kim; Yunseok Seo

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

Kyung Kiu Kim, Jong-Hyun Baek, Yunseok Seo

High Energy Physics - Theory · Submitted 22 Dec 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find the deformation parameter as a function of the dilaton and provide examples showing Janus-type couplings.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.23 · mentions code or data availability 0.02.

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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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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we study a black hole phase transition in a generalized JT gravity noticed in arXiv:2006.03494.	contribution 0.89	0.67	0.06	asserted 0.93
s1	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.	contribution 0.96	0.83	0.08	asserted 0.78
s2	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.	result 1.00	0.55	0.16	asserted 0.98
s3	This scale causes several peaks in the two-point function.	result 0.88	0.72	0.12	asserted 1.00
s4	We also comment on the phase transition of charged black holes.	contribution 0.85	0.47	0.04	unclear 0.54
s5	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.	contribution 0.98	0.80	0.10	asserted 0.79
s6	We find the deformation parameter as a function of the dilaton and provide examples showing Janus-type couplings.	result 0.90	0.95	0.17	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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Original 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 $T\bar{T}$ 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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3 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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However, we are considering the asymptotically flat black hole solutions while the asymptotically AdS black holes have been studied in [ref] .

Island may not save the information paradox of Liouville black holes · Liouville black holes in 2D dilaton gravity · 0.89

Cites it as background 1 paper

Additionally, some other physical deformations may be worth investigating, see, e.g. $TT̅$ deformations [ref] .

Exact Solutions of (deformed) Jackiw-Teitelboim Gravity · Conclusions · 0.86

What it cites · 23 sentences without a confident label

Builds on 7 papers

This is an extension of the constant $W(ϕ)$ case which was studied in [ref] .

$T\bar{T}$ Partition Function from Topological Gravity · Local $TT̅$ Deformation from 2D Gravity · 0.93
In this section, we discuss a generalization of the effective potential by introducing the electric charge of the black hole [ref] .

Models of phase stability in Jackiw-Teitelboim gravity · Charged Black Hole · 0.82
In this section, we discuss a generalization of the effective potential by introducing the electric charge of the black hole [ref] .

Holographic Description of AdS_2 Black Holes · Charged Black Hole · 0.82

Cites as background 18 papers

Recently, there was an interesting study on a first order phase transition among black holes in a generalized JT gravity with diltaon-potential [ref] .

Deformations of JT Gravity and Phase Transitions · Introduction · 0.86
Another interesting aspect of JT gravity is that its relation to the $TT̅$ deformation [ref] when coupled to a conformal matter.

$T \bar{T}$-deformed 2D Quantum Field Theories · Introduction · 0.96
Another interesting aspect of JT gravity is that its relation to the $TT̅$ deformation [ref] when coupled to a conformal matter.

On space of integrable quantum field theories · Introduction · 0.96

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