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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,” arXiv:1904.13376 [hep-th]
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,” Nucl. Phys. B
Original
1904
Earlier work this paper cites.
C. Murdia, Y. Nomura, P. Rath, and N. Salzetta, “Comments on holographic entanglement entropy in T T TT deformed conformal field theories,” Phys. Rev. D
Original
1904
Earlier work this paper cites.
A. Belin, D. M. Hofman, and G. Mathys, “Einstein gravity from ANEC correlators,” JHEP
Original
1904
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, “Shocks, Superconvergence, and a Stringy Equivalence Principle,” arXiv:1904.05905 [hep-th]
Original
1904
Earlier work this paper cites.
M. Guica and R. Monten, “ T T ¯ T\bar{T} and the mirage of a bulk cutoff,” arXiv:1906.11251 [hep-th]
Original
1906
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,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
J. Cardy, “ T T ¯ T\bar{T} deformation of correlation functions,” JHEP
Original
1907
Earlier work this paper cites.
H. Geng, “ T T ¯ T\bar{T} Deformation and the Complexity=Volume Conjecture,” arXiv:1910.08082 [hep-th]
Original
1910
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,” arXiv:1912.06132 [hep-th]
Original
1912
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,” arXiv:1912.09179 [hep-th]
Original
1912
Earlier work this paper cites.
C. W. Misner, “Feynman quantization of general relativity,” Rev. Mod. Phys
1957
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Dynamical Structure and Definition of Energy in General Relativity,” Phys. Rev
1959
Earlier work this paper cites.
H. Leutwyler, “Gravitational field: Equivalence of Feynman quantization and canonical quantization,” Phys. Rev
1964
Earlier work this paper cites.
L. Faddeev and V. Popov, “Feynman Diagrams for the Yang-Mills Field,” Phys. Lett. B
1967
Earlier work this paper cites.
J. W. York, Jr., “Role of conformal three geometry in the dynamics of gravitation,” Phys. Rev. Lett
1972
Earlier work this paper cites.
E. Fradkin and G. Vilkovisky, “S matrix for gravitational field. ii. local measure, general relations, elements of renormalization theory,” Phys. Rev. D
1973
Earlier work this paper cites.
L. Faddeev and V. Popov, “Covariant quantization of the gravitational field,” Sov. Phys. Usp
1974
Earlier work this paper cites.
E. Fradkin and G. Vilkovisky, “Quantization of Relativistic Systems with Constraints: Equivalence of Canonical and Covariant Formalisms in Quantum Theory of Gravitational Field,” CERN-TH-2332
1977
Earlier work this paper cites.
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1979
Earlier work this paper cites.
A. M. Polyakov, “Quantum Geometry of Bosonic Strings,” Phys. Lett. B
1981
Earlier work this paper cites.
J. Hartle and S. Hawking, “Wave Function of the Universe,” Adv. Ser. Astrophys. Cosmol
1987
Earlier work this paper cites.
J. J. Halliwell, “Derivation of the Wheeler-De Witt Equation from a Path Integral for Minisuperspace Models,” Phys. Rev. D
1988
Earlier work this paper cites.

Similar

E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys. B
1988
Cited alongside, same era.
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Then

S.-S. Lee, “Background independent holographic description : From matrix field theory to quantum gravity,” JHEP
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Later among the works it cites.
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2014
Later among the works it cites.
S.-S. Lee, “Quantum Renormalization Group and Holography,” JHEP
Original
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Later among the works it cites.
D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev
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Later among the works it cites.
A. Cavaglià, S. Negro, I. M. Szécsényi, and R. Tateo, “ T T ¯ T\bar{T} -deformed 2D Quantum Field Theories,” JHEP
Original

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2020

Gravitational path integral from the $T^2$ deformation

Belin, Alexandre, Lewkowycz, Aitor, Sarosi, Gabor

Understand

We study a $T^2$ deformation of large $N$ conformal field theories, a higher dimensional generalization of the $T\bar T$ deformation.

The deformed partition function satisfies a flow equation of the diffusion type.
We solve this equation by finding its diffusion kernel, which is given by the Euclidean gravitational path integral in $d+1$ dimensions between two boundaries with Dirichlet boundary conditions for the metric.
This is natural given the connection between the flow equation and the Wheeler-DeWitt equation, on which we offer a new perspective by giving a gauge-invariant relation between the deformed partition function and the radial WDW wave function.

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,” arXiv:1904.13376 [hep-th]
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,” Nucl. Phys. B
Original
1904
Earlier work this paper cites.
C. Murdia, Y. Nomura, P. Rath, and N. Salzetta, “Comments on holographic entanglement entropy in T T TT deformed conformal field theories,” Phys. Rev. D
Original
1904
Earlier work this paper cites.
A. Belin, D. M. Hofman, and G. Mathys, “Einstein gravity from ANEC correlators,” JHEP
Original
1904
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, “Shocks, Superconvergence, and a Stringy Equivalence Principle,” arXiv:1904.05905 [hep-th]
Original
1904
Earlier work this paper cites.
M. Guica and R. Monten, “ T T ¯ T\bar{T} and the mirage of a bulk cutoff,” arXiv:1906.11251 [hep-th]
Original
1906
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,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
J. Cardy, “ T T ¯ T\bar{T} deformation of correlation functions,” JHEP
Original
1907
Earlier work this paper cites.
H. Geng, “ T T ¯ T\bar{T} Deformation and the Complexity=Volume Conjecture,” arXiv:1910.08082 [hep-th]
Original
1910
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,” arXiv:1912.06132 [hep-th]
Original
1912
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,” arXiv:1912.09179 [hep-th]
Original
1912
Earlier work this paper cites.
C. W. Misner, “Feynman quantization of general relativity,” Rev. Mod. Phys
1957
Earlier work this paper cites.
R. L. Arnowitt, S. Deser, and C. W. Misner, “Dynamical Structure and Definition of Energy in General Relativity,” Phys. Rev
1959
Earlier work this paper cites.
H. Leutwyler, “Gravitational field: Equivalence of Feynman quantization and canonical quantization,” Phys. Rev
1964
Earlier work this paper cites.
L. Faddeev and V. Popov, “Feynman Diagrams for the Yang-Mills Field,” Phys. Lett. B
1967
Earlier work this paper cites.
J. W. York, Jr., “Role of conformal three geometry in the dynamics of gravitation,” Phys. Rev. Lett
1972
Earlier work this paper cites.
E. Fradkin and G. Vilkovisky, “S matrix for gravitational field. ii. local measure, general relations, elements of renormalization theory,” Phys. Rev. D
1973
Earlier work this paper cites.
L. Faddeev and V. Popov, “Covariant quantization of the gravitational field,” Sov. Phys. Usp
1974
Earlier work this paper cites.
E. Fradkin and G. Vilkovisky, “Quantization of Relativistic Systems with Constraints: Equivalence of Canonical and Covariant Formalisms in Quantum Theory of Gravitational Field,” CERN-TH-2332
1977
Earlier work this paper cites.
L. Parker, “PATH INTEGRALS FOR A PARTICLE IN CURVED SPACE,” Phys. Rev. D
1979
Earlier work this paper cites.
A. M. Polyakov, “Quantum Geometry of Bosonic Strings,” Phys. Lett. B
1981
Earlier work this paper cites.
J. Hartle and S. Hawking, “Wave Function of the Universe,” Adv. Ser. Astrophys. Cosmol
1987
Earlier work this paper cites.
J. J. Halliwell, “Derivation of the Wheeler-De Witt Equation from a Path Integral for Minisuperspace Models,” Phys. Rev. D
1988
Earlier work this paper cites.

Similar

E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys. B
1988
Cited alongside, same era.
S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B
1989
Cited alongside, same era.
P. O. Mazur and E. Mottola, “The Gravitational Measure, Solution of the Conformal Factor Problem and Stability of the Ground State of Quantum Gravity,” Nucl. Phys. B
1990
Cited alongside, same era.
O. Coussaert, M. Henneaux, and P. van Driel, “The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant,” Class. Quant. Grav
1995
Cited alongside, same era.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Cited alongside, same era.

Then

S.-S. Lee, “Background independent holographic description : From matrix field theory to quantum gravity,” JHEP
Original
2012
Later among the works it cites.
M. Lüscher, “Properties and uses of the Wilson flow in lattice QCD,” JHEP
Original
2014
Later among the works it cites.
S.-S. Lee, “Quantum Renormalization Group and Holography,” JHEP
Original
2014
Later among the works it cites.
D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev
Original
2014
Later among the works it cites.
A. Cavaglià, S. Negro, I. M. Szécsényi, and R. Tateo, “ T T ¯ T\bar{T} -deformed 2D Quantum Field Theories,” JHEP
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

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