The Bajnok-Janik formula and wrapping corrections

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We write down the simplified TBA equations of the AdS 5 × S 5 string σ-model for minimal energy twist-two operators in the sl(2) sector of the model. By using the linearized version of these TBA equations it is shown that the wrapping corrected Bethe equations for these states are identical, up to O(g 8), to the Bethe equations calculated in the generalized Lüscher approach (Bajnok-Janik formula). Applications of the Bajnok-Janik formula to relativistic integrable models, the nonlinear O(n) sigma models for n = 2,3,4 and the SU(n) principal sigma models, are also discussed.

Original languageEnglish
Article number107
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - Dec 8 2010


  • ADS-CFT correspondence
  • Integrable field theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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