A renormalization scheme is identified for N=2 supersymmetric integrable sigma models in which the five-loop beta-function contribution vanishes and the fourth-loop term becomes a coordinate-independent invariant for T-duals of eta-deformed SU(n)/U(n-1) and eta/lambda-deformed SU(2)/U(1) models.
On dual description of the deformed $O(N)$ sigma model
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abstract
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 $\eta-$deformed $O(N)$ sigma-model after $T-$duality transformation.
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On $\beta$-function of $\mathcal{N}=2$ supersymmetric integrable sigma models II
A renormalization scheme is identified for N=2 supersymmetric integrable sigma models in which the five-loop beta-function contribution vanishes and the fourth-loop term becomes a coordinate-independent invariant for T-duals of eta-deformed SU(n)/U(n-1) and eta/lambda-deformed SU(2)/U(1) models.