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

A. V. Litvinov, L. A. Spodyneiko

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10 Citations (Scopus)


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.

Original languageEnglish
Article number139
JournalJournal of High Energy Physics
Issue number11
Publication statusPublished - 1 Nov 2018
Externally publishedYes


  • Integrable Field Theories
  • Sigma Models


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