Five-loop Konishi from the Mirror TBA

Abstract

We use the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model to derive the five-loop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with the one recently obtained via the generalized Luscher formulae. This constitutes an important test of the AdS/CFT TBA system.

14 pages, 2 figures, v2: published version

References in corpus (16)

• 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
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• Wrapping interactions at strong coupling -- the giant magnon
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Y-system and Quasi-Classical Strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Finite size effects for giant magnons on physical strings
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• Discrete Hirota dynamics for AdS/CFT

Cited by in corpus (70)

• Quantum spectral curve for AdS_5/CFT_4
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• 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
• Wronskian Solution for AdS/CFT Y-system
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• Konishi operator at intermediate coupling
• Five-loop Konishi in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• 5-loop Konishi from linearized TBA and the XXX magnet
• The spectral problem for strings on twisted AdS_5 x S^5
• Quantum integrability and functional equations
• Twisting the Mirror TBA
• Introduction to the thermodynamic Bethe ansatz
• The Quantum Deformed Mirror TBA II
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ 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 Effectiveness of Relativistic Invariance in AdS${}_3$
• The Bajnok-Janik formula and wrapping corrections
• Hybrid-NLIE for the AdS/CFT spectral problem
• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
• 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
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Correlation functions of local composite operators from generalized unitarity
• Strong coupling results from the numerical solution of the quantum spectral curve
• Six and seven loop Konishi from Luscher corrections
• Comments on the Mirror TBA
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Scaling dimensions from the mirror TBA
• Exceptional Operators in N=4 super Yang-Mills
• First-principles derivation of the AdS/CFT Y-systems
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Lifting asymptotic degeneracies with the Mirror TBA
• Integrable strings for AdS/CFT
• Bound States in the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Quasi-local formulation of the mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbifolded Konishi from the Mirror TBA
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Dynamic Lattice Supersymmetry in gl(n|m) Spin Chains
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• The Hirota equation for string theory in AdS5xS5 from the fusion of line operators
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Integrable systems and AdS/CFT duality
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Exact Results in Supersymmetric Gauge Theories
• Lee-Yang Model in Presence of Defects
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators