A definition of primary operators in $J\bar{T}$-deformed CFTs

Abstract

$J\bar{T}$-deformed CFTs provide an interesting example of non-local, yet UV-complete two-dimensional QFTs that are entirely solvable. They have been recently shown to possess an infinite set of symmetries, which are a continuous deformation of the Virasoro-Kac-Moody symmetries of the seed CFT. In this article, we put forth a definition of primary operators in $J\bar{T}$-deformed CFTs on a cylinder, which are singled out by having CFT-like momentum-space commutation relations with the symmetry generators in the decompatification limit. We show -- based on results we first derive for the case of $J^1\wedge J^2$-deformed CFTs -- that all correlation functions of such operators in the $J\bar{T}$-deformed CFT can be computed exactly in terms of the correlation functions of the undeformed CFT and are crossing symmetric in the plane limit. In particular, two and three-point functions are simply given by the corresponding momentum-space correlator in the undeformed CFT, with all dimensions replaced by particular momentum-dependent conformal dimensions. Interestingly, scattering amplitudes off the near-horizon of extremal black holes are known to take a strikingly similar form.

30 pp

References in corpus (9)

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Cited by in corpus (9)

• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Conformal Field Theories
• Photon Rings Around Warped Black Holes
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Krylov complexity of deformed conformal field theories
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge