T T ¯ $$ T\overline{T} $$ deformation of classical Liouville field theory

Abstract

Abstract We consider the irrelevant flow of classical Liouville field theory driven by the T T ¯ $$ T\overline{T} $$ 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.

Keywords

• Integrable Field Theories
• Field Theories in Lower Dimensions
• Conformal Field Theory