2010/03/31 by János Balog, Janos Balog, Arpad Hegedus +1 · 35 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Black Holes and Theoretical Physics #Integrable system #Nonlinear Waves and Solitons #Nonlinear system #Sigma #Sigma model #String (physics) #hep-th
paper · pdf · doi:10.1007/jhep09(2010)107
published in Journal of High Energy Physics 2010(9) (Springer Nature) · Latex, 22 pages, published version
openalex publication_date 2010/09/01 · arxiv created 2010/09/07 · arxiv updated 2010/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We write down the simplified TBA equations of the AdS5 × S5 string sigma-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(g8), 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.