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We study what we call the all-loop anisotropic bosonized Thirring sigmamodel. This interpolates between the WZW model and the non-Abelian T-dual ofthe principal chiral model for a simple group. It has an invariance involvingthe inversion of the matrix parametrizing the coupling constants. We computethe general renormalization group flow equations which assume a remarkablysimple form and derive its properties. For symmetric couplings, theyconsistently truncate to previous results in the literature. One of theexamples we provide gives rise to a first order system of differentialequations interpolating between the Lagrange and the Darboux-Halphen integrablesystems.

Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model