Wrapping at four loops in N=4 SYM

Abstract

We present the planar four-loop anomalous dimension of the composite operator tr(phi[Z,phi]Z) in the flavour SU(2) sector of the N=4 SYM theory. At this loop order wrapping interactions are present: they give rise to contributions proportional to zeta(5) increasing the level of transcendentality of the anomalous dimension. In a sequel of this paper all the details of our calculation will be reported.

LaTeX, 10 pages, 1 table; v2: sign changed in W_1 of Fig.1 and corresponding correction for the coeff. of zeta(3) in the final result, references added; v3: version published in Phys.Lett.B

References in corpus (19)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Transcendentality and Crossing
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Bethe Ansatz for Quantum Strings
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The su(2|3) Dynamic Spin Chain
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• 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
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Dressing and Wrapping
• Planar N=4 Gauge Theory and the Hubbard Model
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Wrapping interactions and the genus expansion of the 2-point function of composite operators
• The Four-Loop Dressing Phase of N=4 SYM
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling

Cited by in corpus (113)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The all loop AdS4/CFT3 Bethe ansatz
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• 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
• Five-loop Konishi from the Mirror TBA
• On form factors in N=4 sym
• The Four-Loop Konishi in N=4 SYM
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Exploring the mirror TBA
• 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
• The Quantum Deformed Mirror TBA I
• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Five-loop Konishi in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• Finite size effects for giant magnons on physical strings
• 5-loop Konishi from linearized TBA and the XXX magnet
• The spectral problem for strings on twisted AdS_5 x S^5
• The Exact Effective Couplings of 4D N=2 gauge theories
• Twisting the Mirror TBA
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• The Quantum Deformed Mirror TBA II
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Finite Size Giant Magnon
• $Ad{S}_5\times S^5$ 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
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• The virtual scaling function of AdS/CFT
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• The Bajnok-Janik formula and wrapping corrections
• Resummation and S-duality in N=4 SYM
• Interacting finite-size magnons
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• Analytic solution of the multiloop Baxter equation
• 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
• Hybrid-NLIE for the AdS/CFT spectral problem
• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Six-loop Konishi anomalous dimension from the Y-system
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Reciprocity of gauge operators in N=4 SYM
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Comments on the Mirror TBA
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• Six and seven loop Konishi from Luscher corrections
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Extracting OPE coefficient of Konishi at four loops
• 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
• Konishi OPE coefficient at the five loop order
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• The su(2|3) Undynamic Spin Chain
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Universal blocks of the AdS/CFT Scattering Matrix
• 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
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Structure of the string R-matrix
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Toy models for wrapping effects
• Bound States in the Mirror TBA
• The Bethe Ansatz for AdS5 x S5 Bound States
• Wrapping Interactions and the Konishi Operator
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• 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
• Quasi-local formulation of the mirror TBA
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• 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
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• The Leading Order Dressing Phase in ABJM Theory
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• From weak coupling to spinning strings
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
• Four-loop anomalous dimensions in Leigh-Strassler deformations
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• S-duality invariant perturbation theory improved by holography
• Wrapping effects in supersymmetric gauge theories
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• Excited States of Open Strings From $\mathcal{N}=4$ SYM
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Yangian Symmetry, S-Matrices and Bethe Ansatz for the AdS5 x S5 Superstring
• Supergraphs and the cubic Leigh-Strassler model
• Lee-Yang Model in Presence of Defects
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Exact Results in Supersymmetric Gauge Theories