Very Special $T\bar{J}$ deformed CFT

Abstract

We study a very special class of $T\bar{J}$ deformations of conformal field theories in two dimensions. While the deformations break the Lorentz symmetry, they preserve the twisted Lorentz symmetry. The resulting theory has right-moving Virasoro as well as left-moving translation and left-moving (chiral) scale symmetry without left-moving special conformal symmetry (nor left-moving Virasoro symmetry). As in the original $T\bar{J}$ deformations, they may be regarded as an operator dependent non-local change of coordinates. We show concrete examples based on worldsheet string theory and discuss how the non-unitary nature enables us to circumvent various no-go theorems.

21 pages

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Cited by in corpus (17)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Heating up holography for single-trace $J\bar{T}$ deformations
• Note on Rényi entropy of 2D perturbed free fermions
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• Irrelevant Deformations with Boundaries and Defects
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Mixed state entanglement in deformed field theory at finite temperature