The Bajnok-Janik formula and wrapping corrections

Abstract

We write down the simplified TBA equations of the $Ad{S}_5\times S^5$ 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(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.

Latex, 22 pages, published version

References in corpus (7)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• Simplified TBA equations of the AdS_5 x S^5 mirror model

Cited by in corpus (3)

• Twisting the Mirror TBA
• Orbifolded Konishi from the Mirror TBA
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM