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P. Caputa, S. Datta, and V. Shyam, Sphere partition functions \& cut-off AdS
Original
1902
Earlier work this paper cites.
P. Saad, S. H. Shenker, and D. Stanford, JT gravity as a matrix integral
Original
1903
Earlier work this paper cites.
K. Okuyama, Replica symmetry breaking in random matrix model: a toy model of wormhole networks
Original
1903
Earlier work this paper cites.
Y. Jiang, A pedagogical review on solvable irrelevant deformations of 2D quantum field theory
Original
1904
Earlier work this paper cites.
T. G. Mertens and G. J. Turiaci, Defects in Jackiw-Teitelboim Quantum Gravity
Original
1904
Earlier work this paper cites.
A. Banerjee, A. Bhattacharyya, and S. Chakraborty, Entanglement Entropy for T T TT deformed CFT in general dimensions
Original
1904
Earlier work this paper cites.
E. A. Coleman, J. Aguilera-Damia, D. Z. Freedman, and R. M. Soni, T T ¯ T\overline{T} -deformed actions and (1,1) supersymmetry
Original
1906
Earlier work this paper cites.
J. Cardy, T T ¯ T\bar{T} deformation of correlation functions
Original
1907
Earlier work this paper cites.
S. He and H. Shu, Correlation functions, entanglement and chaos in the T T ¯ / J T ¯ T\overline{T}/J\overline{T} -deformed CFTs
Original
1907
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph, and E. Shaghoulian, T T ¯ T\overline{T} in AdS 2 and Quantum Mechanics
Original
1907
Earlier work this paper cites.
D. Stanford and E. Witten, JT gravity and the ensembles of random matrix theory
Original
1907
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein, and G. Torroba, T T ¯ T\overline{T} and EE, with implications for (A)dS subregion encodings
Original
1909
Earlier work this paper cites.
K. Okuyama and K. Sakai, JT gravity, KdV equations and macroscopic loop operators
Original
1911
Earlier work this paper cites.
C. V. Johnson, Nonperturbative Jackiw-Teitelboim gravity
Original
1912
Earlier work this paper cites.
S. He, J.-R. Sun, and Y. Sun, The correlation function of (1,1) and (2,2) supersymmetric theories with T T ¯ T\overline{T} deformation
Original
1912
Earlier work this paper cites.
E. A. Mazenc, V. Shyam, and R. M. Soni, A T T ¯ T\overline{T} Deformation for Curved Spacetimes from 3d Gravity
Original
1912
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph, and E. Shaghoulian, Hamiltonian deformations in quantum mechanics, T T ¯ T\bar{T} , and the SYK model
Original
1912
Earlier work this paper cites.
I. Longman, A method for the numerical evaluation of finite integrals of oscillatory functions
1960
Earlier work this paper cites.
US Government printing office, 1964
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables · 1964
Earlier work this paper cites.
C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions
1983
Earlier work this paper cites.
R. Jackiw, Lower Dimensional Gravity
1985
Earlier work this paper cites.

Similar

G. W. Moore, Matrix models of 2-D gravity and isomonodromic deformation
1990
Cited alongside, same era.
T. Ooura and M. Mori, The double exponential formula for oscillatory functions over the half infinite interval
1991
Cited alongside, same era.
P. J. Forrester, The spectrum edge of random matrix ensembles
1993
Cited alongside, same era.
hep-th/9304011
P. H. Ginsparg and G. W. Moore, Lectures on 2-D gravity and 2-D string theory · 1993
Cited alongside, same era.
C. A. Tracy and H. Widom, Level spacing distributions and the Airy kernel
1993
Cited alongside, same era.
C. A. Tracy and H. Widom, Level spacing distributions and the Airy kernel
1994
Cited alongside, same era.

Then

M. Mirzakhani, Weil-Petersson volumes and intersection theory on the moduli space of curves
2007
Later among the works it cites.
M. Alishahiha, A. Faraji Astaneh, G. Jafari, A. Naseh, and B. Taghavi, On Free Energy for Deformed JT Gravity
Original
2010
Later among the works it cites.
S. Ebert, H.-Y. Sun, and Z. Sun, T T ¯ T\overline{T} deformation in SCFTs and integrable supersymmetric theories
Original
2011
Later among the works it cites.
P. Caputa, S. Datta, Y. Jiang, and P. Kraus, Geometrizing T T ¯ T\overline{T}
Original
2011
Later among the works it cites.
C. V. Johnson and F. Rosso, Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
Original

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2022

$T\overline{T}$-deformed free energy of the Airy model

Ebert, Stephen, Sun, Hao-Yu, Sun, Zhengdi

Understand

Sharpening the holographic correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff $\lambda$ through the $T\overline{T}$ deformation is of interest.

To proceed, we simplify the problem by considering the Airy model and deform Airy correlators in the same way as in $T\overline{T}$-deformed JT gravity.
We use those correlators to compute the annealed and quenched free energies for both $\lambda > 0$ and $\lambda < 0$ from an integral representation of the replica trick.
At the leading order in $\lambda$ and low temperatures, we confirm that the genus-zero quenched free energy monotonically decreases as a function of temperature when perturbation theory is valid.

Built on

P. Caputa, S. Datta, and V. Shyam, Sphere partition functions \& cut-off AdS
Original
1902
Earlier work this paper cites.
P. Saad, S. H. Shenker, and D. Stanford, JT gravity as a matrix integral
Original
1903
Earlier work this paper cites.
K. Okuyama, Replica symmetry breaking in random matrix model: a toy model of wormhole networks
Original
1903
Earlier work this paper cites.
Y. Jiang, A pedagogical review on solvable irrelevant deformations of 2D quantum field theory
Original
1904
Earlier work this paper cites.
T. G. Mertens and G. J. Turiaci, Defects in Jackiw-Teitelboim Quantum Gravity
Original
1904
Earlier work this paper cites.
A. Banerjee, A. Bhattacharyya, and S. Chakraborty, Entanglement Entropy for T T TT deformed CFT in general dimensions
Original
1904
Earlier work this paper cites.
E. A. Coleman, J. Aguilera-Damia, D. Z. Freedman, and R. M. Soni, T T ¯ T\overline{T} -deformed actions and (1,1) supersymmetry
Original
1906
Earlier work this paper cites.
J. Cardy, T T ¯ T\bar{T} deformation of correlation functions
Original
1907
Earlier work this paper cites.
S. He and H. Shu, Correlation functions, entanglement and chaos in the T T ¯ / J T ¯ T\overline{T}/J\overline{T} -deformed CFTs
Original
1907
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph, and E. Shaghoulian, T T ¯ T\overline{T} in AdS 2 and Quantum Mechanics
Original
1907
Earlier work this paper cites.
D. Stanford and E. Witten, JT gravity and the ensembles of random matrix theory
Original
1907
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein, and G. Torroba, T T ¯ T\overline{T} and EE, with implications for (A)dS subregion encodings
Original
1909
Earlier work this paper cites.
K. Okuyama and K. Sakai, JT gravity, KdV equations and macroscopic loop operators
Original
1911
Earlier work this paper cites.
C. V. Johnson, Nonperturbative Jackiw-Teitelboim gravity
Original
1912
Earlier work this paper cites.
S. He, J.-R. Sun, and Y. Sun, The correlation function of (1,1) and (2,2) supersymmetric theories with T T ¯ T\overline{T} deformation
Original
1912
Earlier work this paper cites.
E. A. Mazenc, V. Shyam, and R. M. Soni, A T T ¯ T\overline{T} Deformation for Curved Spacetimes from 3d Gravity
Original
1912
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph, and E. Shaghoulian, Hamiltonian deformations in quantum mechanics, T T ¯ T\bar{T} , and the SYK model
Original
1912
Earlier work this paper cites.
I. Longman, A method for the numerical evaluation of finite integrals of oscillatory functions
1960
Earlier work this paper cites.
US Government printing office, 1964
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables · 1964
Earlier work this paper cites.
C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions
1983
Earlier work this paper cites.
R. Jackiw, Lower Dimensional Gravity
1985
Earlier work this paper cites.

Similar

G. W. Moore, Matrix models of 2-D gravity and isomonodromic deformation
1990
Cited alongside, same era.
T. Ooura and M. Mori, The double exponential formula for oscillatory functions over the half infinite interval
1991
Cited alongside, same era.
P. J. Forrester, The spectrum edge of random matrix ensembles
1993
Cited alongside, same era.
hep-th/9304011
P. H. Ginsparg and G. W. Moore, Lectures on 2-D gravity and 2-D string theory · 1993
Cited alongside, same era.
C. A. Tracy and H. Widom, Level spacing distributions and the Airy kernel
1993
Cited alongside, same era.
C. A. Tracy and H. Widom, Level spacing distributions and the Airy kernel
1994
Cited alongside, same era.