# The Bajnok-Janik formula and wrapping corrections - High Energy Physics - Theory

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Abstract: We write down the simplified TBA equations of the $AdS 5 \times S^5$ stringsigma-model for minimal energy twist-two operators in the sl2 sector of themodel. By using the linearized version of these TBA equations it is shown thatthe wrapping corrected Bethe equations for these states are identical, up toOg^8, to the Bethe equations calculated in the generalized L\-uscher approachBajnok-Janik formula. Applications of the Bajnok-Janik formula torelativistic integrable models, the nonlinear On sigma models for n=2,3,4 andthe SUn principal sigma models, are also discussed.