Integrability vs. RG flow in G × G and G × G/H sigma models

A bstract We consider a class of 2d ? -models on products group spaces that provide new examples close connection between integrability and stability under the RG flow. first study integrable G × model derived from affine Gaudin construction (for which 1-loop ? -functions were found in arXiv:2010.07879 ) show its condition is preserved also by 2-loop then investigate flow gauged G/H model, particular T 1 , arXiv:2010.05573 . construct models case when subgroup H abelian. In simplest = SU 2 U this leads to an -model ,q space (with B -field). This shown be stable flow, we relate property invariance T-duality isometric direction. may interpreted as deformation GMM (of two coupled WZW theories with generic levels) away conformal point.