Built on

P. Caputa, S. Datta, and V. Shyam, “Sphere partition functions & cut-off AdS,” JHEP
Original
1902
Earlier work this paper cites.
Y. Jiang, “Expectation value of T T ¯ \mathrm{T}\overline{\mathrm{T}} operator in curved spacetimes,” JHEP
Original
1903
Earlier work this paper cites.
Y. Jiang, “Lectures on solvable irrelevant deformations of 2d quantum field theory,” 1904.13376
Original
1904
Earlier work this paper cites.
T. Ishii, S. Okumura, J.-I. Sakamoto, and K. Yoshida, “Gravitational perturbations as T T ¯ T\bar{T} -deformations in 2D dilaton gravity systems,” Nucl. Phys. B
Original
1906
Earlier work this paper cites.
V. Rosenhaus and M. Smolkin, “Integrability and Renormalization under T T ¯ T\bar{T} ,” 1909.02640
Original
1909
Earlier work this paper cites.
E. A. Mazenc, V. Shyam, and R. M. Soni, “A T T ¯ T\bar{T} Deformation for Curved Spacetimes from 3d Gravity,” 1912.09179
Original
1912
Earlier work this paper cites.
A. Ireland and V. Shyam, “ T T ¯ T\bar{T} deformed YM 2
Original
1912
Earlier work this paper cites.
T. D. Brennan, C. Ferko, and S. Sethi, “A Non-Abelian Analogue of DBI from T T ¯ T\overline{T} ,” SciPost Phys
Original
1912
Earlier work this paper cites.
B. Allen and T. Jacobson, “Vector Two Point Functions in Maximally Symmetric Spaces,” Commun. Math. Phys
1986
Earlier work this paper cites.

Similar

J. Callan, Curtis G. and F. Wilczek, “INFRARED BEHAVIOR AT NEGATIVE CURVATURE,” Nucl. Phys. B
1990
Cited alongside, same era.
M. Spradlin and A. Strominger, “Vacuum states for AdS(2) black holes,” JHEP
1999
Cited alongside, same era.
G. Mussardo and P. Simon, “Bosonic type S matrix, vacuum instability and CDD ambiguities,” Nucl. Phys. B
2000
Cited alongside, same era.
S. Hirano and M. Shigemori, “Random Boundary Geometry and Gravity Dual of T T ¯ T\bar{T} Deformation,” 2003.06300
Original
2003
Cited alongside, same era.
S. Okumura and K. Yoshida, “ T T ¯ T\bar{T} -deformation and Liouville gravity,” 2003.14148
Original
2003
Cited alongside, same era.

Then

S. Dubovsky, V. Gorbenko, and M. Mirbabayi, “Asymptotic fragility, near AdS 2
Original
2017
Later among the works it cites.
L. McGough, M. Mezei, and H. Verlinde, “Moving the CFT into the bulk with T T ¯ T\overline{T} ,” JHEP
Original
2018
Later among the works it cites.
P. Kraus, J. Liu, and D. Marolf, “Cutoff AdS 3
Original
2018
Later among the works it cites.
J. Cardy, “The T T ¯ T\overline{T} deformation of quantum field theory as random geometry,” JHEP
Original
2018
Later among the works it cites.
G. Bonelli, N. Doroud, and M. Zhu, “ T T ¯ T\bar{T} -deformations in closed form,” JHEP
Original

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2020

Defining the $T \overline{T}$ Deformation on $\mathrm{AdS}_2$

Brennan, T. Daniel, Ferko, Christian, Martinec, Emil et al.

Understand

We show that the $T \overline{T}$ deformation of two-dimensional quantum field theory on $\mathrm{AdS}_2$ is well-defined and solvable at the quantum level.

Flow equations for the energy spectrum and partition function are derived in analogy with the flat space case.
As a non-trivial check, we perturbatively compute the deformed energy spectrum for the case of a free scalar field.
We analyze the high energy density of states of the deformed theory and find a Hagedorn growth of states.

Built on

P. Caputa, S. Datta, and V. Shyam, “Sphere partition functions & cut-off AdS,” JHEP
Original
1902
Earlier work this paper cites.
Y. Jiang, “Expectation value of T T ¯ \mathrm{T}\overline{\mathrm{T}} operator in curved spacetimes,” JHEP
Original
1903
Earlier work this paper cites.
Y. Jiang, “Lectures on solvable irrelevant deformations of 2d quantum field theory,” 1904.13376
Original
1904
Earlier work this paper cites.
T. Ishii, S. Okumura, J.-I. Sakamoto, and K. Yoshida, “Gravitational perturbations as T T ¯ T\bar{T} -deformations in 2D dilaton gravity systems,” Nucl. Phys. B
Original
1906
Earlier work this paper cites.
V. Rosenhaus and M. Smolkin, “Integrability and Renormalization under T T ¯ T\bar{T} ,” 1909.02640
Original
1909
Earlier work this paper cites.
E. A. Mazenc, V. Shyam, and R. M. Soni, “A T T ¯ T\bar{T} Deformation for Curved Spacetimes from 3d Gravity,” 1912.09179
Original
1912
Earlier work this paper cites.
A. Ireland and V. Shyam, “ T T ¯ T\bar{T} deformed YM 2
Original
1912
Earlier work this paper cites.
T. D. Brennan, C. Ferko, and S. Sethi, “A Non-Abelian Analogue of DBI from T T ¯ T\overline{T} ,” SciPost Phys
Original
1912
Earlier work this paper cites.
B. Allen and T. Jacobson, “Vector Two Point Functions in Maximally Symmetric Spaces,” Commun. Math. Phys
1986
Earlier work this paper cites.

Similar

J. Callan, Curtis G. and F. Wilczek, “INFRARED BEHAVIOR AT NEGATIVE CURVATURE,” Nucl. Phys. B
1990
Cited alongside, same era.
M. Spradlin and A. Strominger, “Vacuum states for AdS(2) black holes,” JHEP
1999
Cited alongside, same era.
G. Mussardo and P. Simon, “Bosonic type S matrix, vacuum instability and CDD ambiguities,” Nucl. Phys. B
2000
Cited alongside, same era.
S. Hirano and M. Shigemori, “Random Boundary Geometry and Gravity Dual of T T ¯ T\bar{T} Deformation,” 2003.06300
Original
2003
Cited alongside, same era.
S. Okumura and K. Yoshida, “ T T ¯ T\bar{T} -deformation and Liouville gravity,” 2003.14148
Original
2003
Cited alongside, same era.