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

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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Cited by in corpus (11)

• Integrable Deformations of Sigma Models
• Integrable sigma models and 2-loop RG flow
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• Strong integrability of the bi-YB-WZ model
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• On loop corrections to integrable $2D$ sigma model backgrounds
• Dual description of $\eta$-deformed OSP sigma models
• Solution of tetrahedron equation and cluster algebras
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual
• On dual regime in Yang-Baxter deformed $\mathrm{O}(2N)$ sigma models