$T\bar{T}$ deformation of classical Liouville field theory

Abstract

We consider the irrelevant flow of classical Liouville field theory driven by the $T\bar{T}$ operator. After discussing properties of its exact action and equation of motion we construct an infinite set of conserved currents. We also find its vacuum solutions.

arXiv comment25 pages, minor corrections, reference added

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Cited by in corpus (7)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ deformation of chiral bosons and Chern-Simons AdS${}_3$ gravity
• $T\bar{T}$-flow effects on torus partition functions
• Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• $T\overline{T}$ Deformations of nonrelativistic models