$T\bar{T}$ deformed CFT as a non-critical string

Abstract

We present a new exact treatment of $T\bar{T}$ deformed 2D CFT in terms of the worldsheet theory of a non-critical string. The transverse dimensions of the non-critical string are represented by the undeformed CFT, while the two longitudinal light-cone directions are described by two scalar fields $X^{+}$ and $X^{-}$ with free field OPE's but with a modified stress tensor, arranged so that the total central charge adds up to 26. The relation between our $X^{\pm }$ field variables and 2D dilaton gravity is indicated. We compute the physical spectrum and the partition function and find a match with known results. We describe how to compute general correlation functions and present an integral expression for the three point function, which can be viewed as an exact formula for the OPE coefficients of the $T\bar{T}$ deformed theory. We comment on the relationship with other proposed definitions of local operators.

arXiv comment27 pages, 3 figures

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Cited by in corpus (44)

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• Harmonic analysis of 2d CFT partition functions
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Conformal Boundary Conditions from Cutoff AdS${}_3$
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• Geometrizing non-relativistic bilinear deformations
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• $T\bar{T}$ flow as characteristic flows
• Thermodynamic Bethe Ansatz past turning points: the (elliptic) sinh-Gordon model
• S-duality in $T\bar{T}$-deformed CFT
• $T\bar{T}$-deformation and Liouville gravity
• Baby Universes and Worldline Field Theories
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• Large N Analysis of $T\bar{T}$-deformation and Unavoidable Negative-norm States
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• $T\bar{T}$-deformed Fermionic Theories Revisited
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• Irrelevant Deformations of Chiral Bosons
• $T\bar{T}$ deformed soft theorem
• Worldsheet traversable wormholes
• Supersymmetric black holes and $T\bar{T}$ deformation
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• JT gravity at finite cutoff
• Chiral Decoupling from Irrelevant Deformations
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
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• Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Loop corrections versus marginal deformation in celestial holography
• $T\bar{T}$, Black Holes and Negative Strings
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• On Current-Squared Flows and ModMax Theories