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D. Kutasov and A. Schwimmer, Universality in two-dimensional gauge theory
1995
Earlier work this paper cites.
R. Dijkgraaf, Chiral deformations of conformal field theories
1997
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3)
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.
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.
D. Israel, C. Kounnas, D. Orlando, and P. M. Petropoulos, Electric/magnetic deformations of S**3 and AdS(3), and geometric cosets
2005
Earlier work this paper cites.
S. Detournay, D. Orlando, P. M. Petropoulos, and P. Spindel, Three-dimensional black holes from deformed anti-de Sitter
2005
Earlier work this paper cites.
Springer Science & Business Media, 2008
J. H. Bruinier, G. van der Geer, G. Harder, and D. Zagier, The 1-2-3 of modular forms: lectures at a summer school in nordfjordeid, norway · 2008
Earlier work this paper cites.

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2018

Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs

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

Understand

We study families of two dimensional quantum field theories, labeled by a dimensionful parameter $\mu$, that contain a holomorphic conserved $U(1)$ current $J(z)$.

We assume that these theories can be consistently defined on a torus, so their partition sum, with a chemical potential for the charge that couples to $J$, is modular covariant.
We further require that in these theories, the energy of a state at finite $\mu$ is a function only of $\mu$, and of the energy, momentum and charge of the corresponding state at $\mu=0$, where the theory becomes conformal.
We show that under these conditions, the torus partition sum of the theory at $\mu=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $\mu$, to be that of a $\mu J\bar T$ deformed conformal field theory (CFT).

Built on

D. Kutasov and A. Schwimmer, Universality in two-dimensional gauge theory
1995
Earlier work this paper cites.
R. Dijkgraaf, Chiral deformations of conformal field theories
1997
Earlier work this paper cites.
D. Kutasov and N. Seiberg, More comments on string theory on AdS(3)
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.
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.
D. Israel, C. Kounnas, D. Orlando, and P. M. Petropoulos, Electric/magnetic deformations of S**3 and AdS(3), and geometric cosets
2005
Earlier work this paper cites.
S. Detournay, D. Orlando, P. M. Petropoulos, and P. Spindel, Three-dimensional black holes from deformed anti-de Sitter
2005
Earlier work this paper cites.
Springer Science & Business Media, 2008
J. H. Bruinier, G. van der Geer, G. Harder, and D. Zagier, The 1-2-3 of modular forms: lectures at a summer school in nordfjordeid, norway · 2008
Earlier work this paper cites.