Five loop Konishi from AdS/CFT

Abstract

We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using Luscher formulas adapted to multimagnon states at weak coupling. In addition, we derive the five loop wrapping contribution for the L=2 single impurity state in the beta deformed theory, which may be within reach of a direct perturbative computation. The Konishi expression exhibits two new features - a modification of Asymptotic Bethe Ansatz quantization and sensitiveness to an infinite set of coefficients of the BES/BHL dressing phase. The result satisfies nontrivial self-consistency conditions - simple transcendentality structure and cancellation of mu-term poles. It may be a testing ground for the proposed AdS/CFT TBA systems.

45 pages, 1 figure; v2: refs added; v3: published version

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Cited by in corpus (92)

• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Five-loop Konishi from the Mirror TBA
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Exploring the mirror TBA
• Structure constants at wrapping order
• Y-system and Quasi-Classical Strings
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• The Quantum Deformed Mirror TBA I
• Konishi operator at intermediate coupling
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• Five-loop Konishi in N=4 SYM
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• 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
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• 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
• Yangians, S-matrices and AdS/CFT
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Thermal analysis of photon-like particles in rainbow gravity
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• The Bajnok-Janik formula and wrapping corrections
• Resummation and S-duality in N=4 SYM
• Hybrid-NLIE for the AdS/CFT spectral problem
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Six-loop Konishi anomalous dimension from the Y-system
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Twist operators in N=4 beta-deformed theory
• Correlation functions of local composite operators from generalized unitarity
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• 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
• Exceptional Operators in N=4 super Yang-Mills
• Scaling dimensions from the mirror TBA
• A next-to-leading Luescher formula
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• Lifting asymptotic degeneracies with the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Bound States in the Mirror TBA
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Riemann $\zeta (3)$- terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Quasi-local formulation of the mirror TBA
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Scattering of Giant Magnons in CP^3
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Orbifolded Konishi from the Mirror TBA
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Wrapping corrections for long range spin chains
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• On the dressing phase in the SL(2) Bethe Ansatz
• Contour deformation trick in hybrid NLIE
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• 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
• Gluon scattering amplitudes from gauge/string duality and integrability