5-loop Konishi from linearized TBA and the XXX magnet

Abstract

Using the linearized TBA equations recently obtained in [arXiv:1002.1711] we show analytically that the 5-loop anomalous dimension of the Konishi operator agrees with the result obtained previously from the generalized Luscher formulae. The proof is based on the relation between this linear system and the XXX model TBA equations.

appendix added (published version)

References in corpus (10)

• 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
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five-loop Konishi from the Mirror TBA
• Exploring the mirror TBA
• Simplified TBA equations of the AdS_5 x S^5 mirror model

Cited by in corpus (45)

• Quantum spectral curve for AdS_5/CFT_4
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Towards integrability for AdS3/CFT2
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Solving the AdS/CFT Y-system
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Integrability of the AdS_5 x S^5 superstring and its deformations
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• Wronskian Solution for AdS/CFT Y-system
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Five-loop Konishi in N=4 SYM
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
• Introduction to the thermodynamic Bethe ansatz
• The Quantum Deformed Mirror TBA II
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• The Bajnok-Janik formula and wrapping corrections
• Hybrid-NLIE for the AdS/CFT spectral problem
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Six-loop Konishi anomalous dimension from the Y-system
• Twist operators in N=4 beta-deformed theory
• Six and seven loop Konishi from Luscher corrections
• Comments on the Mirror TBA
• Strong coupling results from the numerical solution of the quantum spectral curve
• 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
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Wrapping corrections for long range spin chains
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• 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