Built on

Y. Jiang, Expectation value of T T ¯ \mathrm{T}\overline{\mathrm{T}} operator in curved spacetimes , 1903.07561
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.
R. C. Rashkov, On some (integrable) structures in low-dimensional holography , 1905.07190
Original
1905
Earlier work this paper cites.
M. Guica and R. Monten, T T ¯ T\bar{T} and the mirage of a bulk cutoff , 1906.11251
Original
1906
Earlier work this paper cites.
J. Cardy, T T ¯ T\bar{T} deformation of correlation functions , 1907.03394
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 , 1907.04873
Original
1907
Earlier work this paper cites.
A. Hashimoto and D. Kutasov, T T ¯ , J T ¯ T\bar{T},J\bar{T} , T J ¯ T\bar{J} Partition Sums From String Theory , 1907.07221
Original
1907
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein and G. Torroba, T T ¯ T\bar{T} and EE, with implications for (A)dS subregion encodings , 1909.13808
Original
1909
Earlier work this paper cites.
W. Donnelly, E. LePage, Y.-Y. Li, A. Pereira and V. Shyam, Quantum corrections to finite radius holography and holographic entanglement entropy , 1909.11402
Original
1909
Earlier work this paper cites.
N. Callebaut, J. Kruthoff and H. Verlinde, T T ¯ T\bar{T} deformed CFT as a non-critical string , 1910.13578
Original
1910
Earlier work this paper cites.
A. J. Tolley, T T ¯ T\bar{T} Deformations, Massive Gravity and Non-Critical Strings , 1911.06142
Original
1911
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 SYK , 1912.06132
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.
J. Polchinski, Evaluation of the one loop string path integral , Communications in Mathematical Physics 104
1986
Earlier work this paper cites.
F. David, Conformal field theories coupled to 2-d gravity in the conformal gauge , Modern Physics Letters A 3
1988
Earlier work this paper cites.

Similar

E. D’Hoker and D. H. Phong, The geometry of string perturbation theory , Rev. Mod. Phys. 60
1988
Cited alongside, same era.
J. Distler and H. Kawai, Conformal field theory and 2d quantum gravity , Nuclear physics B 321
1989
Cited alongside, same era.
E. D’Hoker and P. S. Kurzepa, 2- D D Quantum Gravity and Liouville Theory , Mod. Phys. Lett. A5
1990
Cited alongside, same era.
H. Verlinde, Conformal field theory, two-dimensional quantum gravity and quantization of teichmüller space , Nuclear Physics B 337
1990
Cited alongside, same era.
R. C. Myers and V. Periwal, Chiral gravity in two-dimensions , Nucl. Phys. B397
1993
Cited alongside, same era.
E. Mottola, Functional integration over geometries , Journal of Mathematical Physics 36

Then

A. Giveon, N. Itzhaki and D. Kutasov, A solvable irrelevant deformation of AdS 3
Original
2017
Later among the works it cites.
Z. Komargodski, The t T ¯ t\bar{T} deformation , 2018
2018
Later among the works it cites.
S. Datta and Y. Jiang, T T ¯ T\bar{T} deformed partition functions , JHEP 08
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 10
Original
2018
Later among the works it cites.
S. Dubovsky, V. Gorbenko and G. Hernandez-Chifflet, T T ¯ T\overline{T} partition function from topological gravity , JHEP 09
Original
2018
Later among the works it cites.

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2019

A $T \bar{T}$ Deformation for Curved Spacetimes from 3d Gravity

Mazenc, Edward A., Shyam, Vasudev, Soni, Ronak M

Understand

We propose a generalisation of the $T \bar{T}$ deformation to curved spaces by defining, and solving, a suitable flow equation for the partition function.

We provide evidence it is well-defined at the quantum level.
This proposal identifies, for any CFT, the $T \bar{T}$ deformed partition function and a certain wavefunction of 3d quantum gravity.
This connection, true for any $c$, is not a holographic duality --- the 3d theory is a "fake bulk." We however emphasise that this reduces to the known holographic connection in the classical limit.

Built on

Y. Jiang, Expectation value of T T ¯ \mathrm{T}\overline{\mathrm{T}} operator in curved spacetimes , 1903.07561
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.
R. C. Rashkov, On some (integrable) structures in low-dimensional holography , 1905.07190
Original
1905
Earlier work this paper cites.
M. Guica and R. Monten, T T ¯ T\bar{T} and the mirage of a bulk cutoff , 1906.11251
Original
1906
Earlier work this paper cites.
J. Cardy, T T ¯ T\bar{T} deformation of correlation functions , 1907.03394
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 , 1907.04873
Original
1907
Earlier work this paper cites.
A. Hashimoto and D. Kutasov, T T ¯ , J T ¯ T\bar{T},J\bar{T} , T J ¯ T\bar{J} Partition Sums From String Theory , 1907.07221
Original
1907
Earlier work this paper cites.
A. Lewkowycz, J. Liu, E. Silverstein and G. Torroba, T T ¯ T\bar{T} and EE, with implications for (A)dS subregion encodings , 1909.13808
Original
1909
Earlier work this paper cites.
W. Donnelly, E. LePage, Y.-Y. Li, A. Pereira and V. Shyam, Quantum corrections to finite radius holography and holographic entanglement entropy , 1909.11402
Original
1909
Earlier work this paper cites.
N. Callebaut, J. Kruthoff and H. Verlinde, T T ¯ T\bar{T} deformed CFT as a non-critical string , 1910.13578
Original
1910
Earlier work this paper cites.
A. J. Tolley, T T ¯ T\bar{T} Deformations, Massive Gravity and Non-Critical Strings , 1911.06142
Original
1911
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 SYK , 1912.06132
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.
J. Polchinski, Evaluation of the one loop string path integral , Communications in Mathematical Physics 104
1986
Earlier work this paper cites.
F. David, Conformal field theories coupled to 2-d gravity in the conformal gauge , Modern Physics Letters A 3
1988
Earlier work this paper cites.

Similar

E. D’Hoker and D. H. Phong, The geometry of string perturbation theory , Rev. Mod. Phys. 60
1988
Cited alongside, same era.
J. Distler and H. Kawai, Conformal field theory and 2d quantum gravity , Nuclear physics B 321
1989
Cited alongside, same era.
E. D’Hoker and P. S. Kurzepa, 2- D D Quantum Gravity and Liouville Theory , Mod. Phys. Lett. A5
1990
Cited alongside, same era.
H. Verlinde, Conformal field theory, two-dimensional quantum gravity and quantization of teichmüller space , Nuclear Physics B 337
1990
Cited alongside, same era.
R. C. Myers and V. Periwal, Chiral gravity in two-dimensions , Nucl. Phys. B397
1993
Cited alongside, same era.
E. Mottola, Functional integration over geometries , Journal of Mathematical Physics 36