ODE/IM correspondence for the Fateev model

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The Fateev model is somewhat special among two-dimensional quantum field theories. For different values of the parameters, it can be reduced to a variety of integrable systems. An incomplete list of the reductions includes O(3) and O(4) non-linear sigma models and their continuous deformations (2D and 3D sausages, anisotropic principal chiral field), the Bukhvostov-Lipatov model, the N = 2 supersymmetric sine-Gordon model, as well as the integrable perturbed SU2(n) ⊗ SU2(p - 2)/SU2(n + p - 2) coset CFT. The model possesses a mysterious symmetry structure of the exceptional quantum superalgebras Uq(D̂(2|1;α)). In this work, we propose the ODE/IM correspondence between the Fateev model and a certain generalization of the classical problem of constant mean curvature embedding of a thrice-punctured sphere in AdS3.

Original languageEnglish (US)
Article number12
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 2013

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Field theories in lower dimensions
  • Integrable field theories
  • Integrable hierarchies


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