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 (23)

• Gauge Theory Correlators from Non-Critical String Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The Factorized S-Matrix of CFT/AdS
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Excited states by analytic continuation of TBA equations
• On String S-matrix, Bound States and TBA
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Four loop twist two, BFKL, wrapping and strings
• Wrapping at four loops in N=4 SYM
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• Five-loop Konishi from the Mirror TBA
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• 5-loop Konishi from linearized TBA and the XXX magnet
• From A_m Trigonometric S-Matrices to the Thermodynamic Bethe Ansatz
• Bethe Ansatz and Classical Hirota Equation

Cited by in corpus (28)

• Quantum spectral curve for AdS_5/CFT_4
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Structure constants at wrapping order
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• Multiple zeta functions and double wrapping in planar N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
• The Quantum Deformed Mirror TBA II
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Hybrid-NLIE for the AdS/CFT spectral problem
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Twist operators in N=4 beta-deformed theory
• Strong coupling results from the numerical solution of the quantum spectral curve
• Comments on the Mirror TBA
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Exceptional Operators in N=4 super Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Lifting asymptotic degeneracies with the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Bound States in the Mirror TBA
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Quasi-local formulation of the mirror TBA
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Orbifolded Konishi from the Mirror TBA
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators