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

Understand

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.