$T\bar{T}$ 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.

25 pages, minor corrections, reference added

References in corpus (6)

• On space of integrable quantum field theories
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• Effective String Theory Revisited
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
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Cited by in corpus (3)

• Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• $T\overline{T}$ Deformations of nonrelativistic models