Solving a family of $T\bar{T}$-like theories

Abstract

We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation. We obtain that energy levels on a circle obey a transport equation analogous to the Burgers equation found in the $T\bar{T}$ case. This equation relates charges at any value of the deformation parameter to charges in the presence of a (generalized) Wilson line. We determine the initial data and solve the transport equations for antisymmetric combinations of flavor symmetry currents and the stress tensor starting from conformal field theories. Among the theories we solve is a conformal field theory deformed by $J\bar{T}$ and $T\bar{T}$ simultaneously. We check our answer against results from AdS/CFT.

arXiv comment42 pages

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Cited by in corpus (8)

• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Integrability and Renormalization under $T\bar{T}$
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• Sequential Flows by Irrelevant Operators
• A general definition of $J{T}_a$ -- deformed QFTs
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• Irrelevant Deformations with Boundaries and Defects