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P. Caputa, S. Datta and V. Shyam, Sphere partition functions \& cut-off AdS , JHEP 05
Original
1902
Earlier work this paper cites.
B. Le Floch and M. Mezei, Solving a family of T T ¯ T\bar{T} -like theories , 1903.07606
Original
1903
Earlier work this paper cites.
R. Conti, S. Negro and R. Tateo, Conserved currents and T T ¯ s \text{T}\bar{\text{T}}_{s} irrelevant deformations of 2D integrable field theories , JHEP 11
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 100
Original
1904
Earlier work this paper cites.
T. Ota, Comments on holographic entanglements in cutoff AdS , 1904.06930
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 948
Original
1904
Earlier work this paper cites.
C.-K. Chang, C. Ferko, S. Sethi, A. Sfondrini and G. Tartaglino-Mazzucchelli, T T ¯ T\bar{T} flows and (2,2) supersymmetry , Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
H.-S. Jeong, K.-Y. Kim and M. Nishida, Entanglement and Rényi entropy of multiple intervals in T T ¯ T\overline{T} -deformed CFT and holography , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
W. Israel, Singular hypersurfaces and thin shells in general relativity , Nuovo Cim. B 44S10
1966
Earlier work this paper cites.
J. Brown and M. Henneaux, On the Poisson Brackets of Differentiable Generators in Classical Field Theory , J. Math. Phys. 27
1986
Earlier work this paper cites.
J. Brown and J. York, James W., Quasilocal energy and conserved charges derived from the gravitational action , Phys. Rev. D 47
1993
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole , Phys. Rev. D 48
1993
Earlier work this paper cites.
I. R. Klebanov and E. Witten, AdS / CFT correspondence and symmetry breaking , Nucl. Phys. B 556
1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity , Commun. Math. Phys. 208
1999
Earlier work this paper cites.
M. Banados, Three-dimensional quantum geometry and black holes , AIP Conf. Proc. 484
1999
Earlier work this paper cites.
K. Skenderis and S. N. Solodukhin, Quantum effective action from the AdS / CFT correspondence , Phys. Lett. B 472
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence , Commun. Math. Phys. 217
2001
Earlier work this paper cites.
O. Aharony, M. Berkooz and E. Silverstein, Multiple trace operators and nonlocal string theories , JHEP 08
2001
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Earlier work this paper cites.
O. Aharony, M. Berkooz and E. Silverstein, Nonlocal string theories on AdS(3) x S**3 and stable nonsupersymmetric backgrounds , Phys. Rev. D 65
2002
Earlier work this paper cites.
I. Papadimitriou, Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT , JHEP 05
2007
Earlier work this paper cites.
G. Barnich and G. Compere, Surface charge algebra in gauge theories and thermodynamic integrability , J. Math. Phys. 49
Original
2008
Earlier work this paper cites.
G. Barnich and C. Troessaert, Aspects of the BMS/CFT correspondence , JHEP 05
Original
2010
Earlier work this paper cites.

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2019

$T\bar T$ and the mirage of a bulk cutoff

Guica, Monica, Monten, Ruben

Understand

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter.

The resulting dual gravitational theory has mixed boundary conditions for the non-dynamical graviton; the boundary conditions for matter fields are undeformed.
When the matter fields are turned off and the deformation parameter is negative, the mixed boundary conditions for the metric at infinity can be reinterpreted on-shell as Dirichlet boundary conditions at finite bulk radius, in agreement with a previous proposal by McGough, Mezei and Verlinde.
The holographic stress tensor of the deformed CFT is fixed by the variational principle, and in pure gravity it coincides with the Brown-York stress tensor on the radial bulk slice with a particular cosmological constant counterterm contribution.

Built on

P. Caputa, S. Datta and V. Shyam, Sphere partition functions \& cut-off AdS , JHEP 05
Original
1902
Earlier work this paper cites.
B. Le Floch and M. Mezei, Solving a family of T T ¯ T\bar{T} -like theories , 1903.07606
Original
1903
Earlier work this paper cites.
R. Conti, S. Negro and R. Tateo, Conserved currents and T T ¯ s \text{T}\bar{\text{T}}_{s} irrelevant deformations of 2D integrable field theories , JHEP 11
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 100
Original
1904
Earlier work this paper cites.
T. Ota, Comments on holographic entanglements in cutoff AdS , 1904.06930
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 948
Original
1904
Earlier work this paper cites.
C.-K. Chang, C. Ferko, S. Sethi, A. Sfondrini and G. Tartaglino-Mazzucchelli, T T ¯ T\bar{T} flows and (2,2) supersymmetry , Phys. Rev. D 101
Original
1906
Earlier work this paper cites.
H.-S. Jeong, K.-Y. Kim and M. Nishida, Entanglement and Rényi entropy of multiple intervals in T T ¯ T\overline{T} -deformed CFT and holography , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
W. Israel, Singular hypersurfaces and thin shells in general relativity , Nuovo Cim. B 44S10
1966
Earlier work this paper cites.
J. Brown and M. Henneaux, On the Poisson Brackets of Differentiable Generators in Classical Field Theory , J. Math. Phys. 27
1986
Earlier work this paper cites.
J. Brown and J. York, James W., Quasilocal energy and conserved charges derived from the gravitational action , Phys. Rev. D 47
1993
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole , Phys. Rev. D 48
1993
Earlier work this paper cites.
I. R. Klebanov and E. Witten, AdS / CFT correspondence and symmetry breaking , Nucl. Phys. B 556
1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity , Commun. Math. Phys. 208
1999
Earlier work this paper cites.
M. Banados, Three-dimensional quantum geometry and black holes , AIP Conf. Proc. 484
1999
Earlier work this paper cites.
K. Skenderis and S. N. Solodukhin, Quantum effective action from the AdS / CFT correspondence , Phys. Lett. B 472
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence , Commun. Math. Phys. 217
2001
Earlier work this paper cites.
O. Aharony, M. Berkooz and E. Silverstein, Multiple trace operators and nonlocal string theories , JHEP 08
2001
Earlier work this paper cites.
K. Skenderis, Lecture notes on holographic renormalization , Class. Quant. Grav. 19
2002
Earlier work this paper cites.
O. Aharony, M. Berkooz and E. Silverstein, Nonlocal string theories on AdS(3) x S**3 and stable nonsupersymmetric backgrounds , Phys. Rev. D 65
2002
Earlier work this paper cites.
I. Papadimitriou, Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT , JHEP 05
2007
Earlier work this paper cites.
G. Barnich and G. Compere, Surface charge algebra in gauge theories and thermodynamic integrability , J. Math. Phys. 49
Original
2008
Earlier work this paper cites.
G. Barnich and C. Troessaert, Aspects of the BMS/CFT correspondence , JHEP 05
Original
2010
Earlier work this paper cites.