On dual description of the deformed O(N) sigma model

A bstract We study dual strong coupling description of integrability-preserving deformation of the O ( N ) sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion interaction and bosonic fields with exponential interactions. We claim that both theories share the same integrable structure and coincide as quantum field theories. We construct a solution of Ricci flow equation which behaves in the UV as a free theory perturbed by graviton operators and show that it coincides with the metric of the η -deformed O ( N ) sigma-model after T -duality transformation.