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S. Forste, A Truly marginal deformation of SL(2, R) in a null direction
1994
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3)
1999
Earlier work this paper cites.
A. Giveon, D. Kutasov, and O. Pelc, Holography for noncritical superstrings
1999
Earlier work this paper cites.
R. Argurio, A. Giveon, and A. Shomer, Superstrings on AdS(3) and symmetric products
2000
Earlier work this paper cites.
M. Berkooz, A. Sever, and A. Shomer, ’Double trace’ deformations, boundary conditions and space-time singularities
2002
Earlier work this paper cites.
A. Giveon, D. Kutasov, E. Rabinovici, and A. Sever, Phases of quantum gravity in AdS(3) and linear dilaton backgrounds
2005
Earlier work this paper cites.

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2018

Aharony, Ofer, Datta, Shouvik, Giveon, Amit et al.

Any two dimensional quantum field theory that can be consistently defined on a torus is invariant under modular transformations.

In this paper we study families of quantum field theories labeled by a dimensionful parameter $t$, that have the additional property that the energy of a state at finite $t$ is a function only of $t$ and of the energy and momentum of the corresponding state at $t=0$, where the theory becomes conformal.
We show that under this requirement, the partition sum of the theory at $t=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $t$, to be that of a $T\bar T$ deformed CFT.
Non-perturbatively, we find that for one sign of $t$ (for which the energies are real) the partition sum is uniquely determined, while for the other sign we find non-perturbative ambiguities.

S. Forste, A Truly marginal deformation of SL(2, R) in a null direction
1994
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3)
1999
Earlier work this paper cites.
A. Giveon, D. Kutasov, and O. Pelc, Holography for noncritical superstrings
1999
Earlier work this paper cites.
R. Argurio, A. Giveon, and A. Shomer, Superstrings on AdS(3) and symmetric products
2000
Earlier work this paper cites.
M. Berkooz, A. Sever, and A. Shomer, ’Double trace’ deformations, boundary conditions and space-time singularities
2002
Earlier work this paper cites.
A. Giveon, D. Kutasov, E. Rabinovici, and A. Sever, Phases of quantum gravity in AdS(3) and linear dilaton backgrounds
2005
Earlier work this paper cites.