Spectrum of the reflection operators in different integrable structures

Gleb A. Kotousov, Sergei L. Lukyanov

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7 Scopus citations


The reflection operators are the simplest examples of the non-local integrals of motion, which appear in many interesting problems in integrable CFT. For the so- called Fateev, quantum AKNS, paperclip and KdV integrable structures, they are built from the (chiral) reflection S-matrices for the Liouville and cigar CFTs. Here we give the full spectrum of the reflection operators associated with these integrable structures. We also obtained a relation between the reflection S-matrices of the cigar and Liouville CFTs. The results of this work are applicable for the description of the scaling behaviour of the Bethe states in exactly solvable lattice systems and may be of interest to the study of the Generalized Gibbs Ensemble associated with the above mentioned integrable structures.

Original languageEnglish (US)
Article number29
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 1 2020

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Conformal Field Theory
  • Conformal and W Symmetry
  • Integrable Field Theories


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