Four-loop perturbative Konishi from strings and finite size effects for multiparticle states

Abstract

We derive the perturbative four loop anomalous dimension of the Konishi operator in N=4 SYM theory from the integrable string sigma model by evaluating the finite size effects using Luscher formulas adapted to multimagnon states at weak coupling. We obtain these multiparticle generalizations of Luscher formulas by studying certain exactly solvable relativistic integrable quantum field theories. The final result involves a summation of all bound states in the mirror theory and agrees with gauge theory perturbative computations.

37 pages; v2: references added, added comparison with corrected perturbative results, v3: mismatched conventions in appendices fixed, no changes in the main text; v4: ref. added, typos corrected

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• The N=4 SYM Integrable Super Spin Chain
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• Bethe Ansatz for Quantum Strings
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Cited by in corpus (193)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The all loop AdS4/CFT3 Bethe ansatz
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• String hypothesis for the AdS_5 x S^5 mirror
• T-systems and Y-systems in integrable systems
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Hexagonalization of Correlation Functions
• Wrapping at four loops in N=4 SYM
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Strings on NS-NS Backgrounds as Integrable Deformations
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• Integrable Wilson loops
• Exacting N=4 Superconformal Symmetry
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Exciting the GKP string at any coupling
• Long-Range Deformations for Integrable Spin Chains
• Five-loop Konishi from the Mirror TBA
• On form factors in N=4 sym
• The Four-Loop Konishi in N=4 SYM
• Towards integrability for AdS3/CFT2
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Solving the AdS/CFT Y-system
• The Dressing Factor and Crossing Equations
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Exploring the mirror TBA
• Structure constants at wrapping order
• Y-system and Quasi-Classical Strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Finite-Size Effects for Dyonic Giant Magnons
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• 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
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• 5-loop Konishi from linearized TBA and the XXX magnet
• String field theory vertex from integrability
• The spectral problem for strings on twisted AdS_5 x S^5
• N=4 SYM structure constants as determinants
• Quantum integrability and functional equations
• Twisting the Mirror TBA
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• Introduction to the thermodynamic Bethe ansatz
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• One-point functions in massive integrable QFT with boundaries
• Temperature quantization from the TBA equations
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• The Quantum Deformed Mirror TBA II
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Truncated Hilbert space approach to the 2d ${\varphi }^4$ theory
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Overlap singularity and time evolution in integrable quantum field theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• The virtual scaling function of AdS/CFT
• Continuum limit of fishnet graphs and AdS sigma model
• Four loop reciprocity of twist two operators in N=4 SYM
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• The Bajnok-Janik formula and wrapping corrections
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Non-planar ABJM Theory and Integrability
• Discrete Hirota dynamics for AdS/CFT
• Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• On O(1) contributions to the free energy in Bethe Ansatz systems: the exact g-function
• Hybrid-NLIE for the AdS/CFT spectral problem
• Luescher formula for GKP string
• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• Lectures on S-matrices and Integrability
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Hexagons and Correlators in the Fishnet Theory
• 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
• 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
• On wrapping corrections to GKP-like operators
• Finite size corrections for open strings/open chains in planar AdS/CFT
• 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
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Progress and prospects of lattice supersymmetry
• Scaling dimensions from the mirror TBA
• Exceptional Operators in N=4 super Yang-Mills
• Y-system for Y=0 brane in planar AdS/CFT
• The Bound State S-matrix of the Deformed Hubbard Chain
• A next-to-leading Luescher formula
• Konishi OPE coefficient at the five loop order
• Universal blocks of the AdS/CFT Scattering Matrix
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Logarithmic Corrections to the Entanglement Entropy
• On the wrapping correction to single magnon energy in twisted N=4 SYM
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• Lattice studies of supersymmetric gauge theories
• Structure constants of short operators in planar $\mathcal{N}=4$ 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
• Exact finite volume expectation values of local operators in excited states
• 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
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• One-point functions in finite volume/temperature: a case study
• Integrable Field Theories with an Interacting Massless Sector
• Bethe ansatz equations for open spin chains from giant gravitons
• Lifting asymptotic degeneracies with the Mirror TBA
• Leading exponential finite size corrections for non-diagonal form factors
• Bound States in the Mirror TBA
• Worldsheet S-matrix of beta-deformed SYM
• Structure constants of operators on the Wilson loop from integrability
• Wilson-loop One-point Functions in ABJM Theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Konishi at strong coupling from ABE
• 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
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• The Bethe Ansatz for AdS5 x S5 Bound States
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Scattering of Giant Magnons in CP^3
• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• Quasi-local formulation of the mirror TBA
• Baxter equation beyond wrapping
• Orbifolded Konishi from the Mirror TBA
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Wrapping corrections for long range spin chains
• 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
• Fusion for the one-dimensional Hubbard model
• Three-point functions at strong coupling in the BMN limit
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Integrability treatment of AdS/CFT orbifolds
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Finite-sites corrections to the Casimir energy on a periodic lattice
• Gluing Hexagons at Three Loops
• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• Wrapping effects in supersymmetric gauge theories
• Contour deformation trick in hybrid NLIE
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Integrable systems and AdS/CFT duality
• TCSA and the finite volume boundary state
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Fusion for AdS/CFT boundary S-matrices
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• Supergraphs and the cubic Leigh-Strassler model
• Exact Results in Supersymmetric Gauge Theories
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Lee-Yang Model in Presence of Defects
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Finite volume form factors in integrable theories
• Exploring conformality in lattice N=4 supersymmetric Yang--Mills
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Transfer matrices for AdS3/CFT2