Anomalous dimension with wrapping at four loops in N=4 SYM

Abstract

In this paper we give all the details of the calculation that we presented in our previous paper arXiv:0712.3522, concerning the four-loop anomalous dimension of the Konishi descendant tr(ϕZϕZ-ϕϕZ Z) in the SU(2) sector of the N=4 planar SYM theory. We explicitly consider all the wrapping diagrams that we compute using an N=1 superspace approach and Gegenbauer polynomial x-space techniques.

LaTeX, mpost, feynmf, 48 pages, 17 figures, 13 tables; v2: symmetry factor of 2 corrected in W_D which modifies the rational part of the final result, references added

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Cited by in corpus (85)

• 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
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Wrapping at four loops in N=4 SYM
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Long-Range Deformations for Integrable Spin Chains
• On form factors in N=4 sym
• Quantum spectral curve as a tool for a perturbative quantum field theory
• More $\mathcal{N}=4$ superconformal bootstrap
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Y-system and Quasi-Classical Strings
• Magnon dispersion to four loops in the ABJM and ABJ models
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• 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
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• The Exact Effective Couplings of 4D N=2 gauge theories
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Integrability in N=2 superconformal gauge theories
• 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
• 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
• Resummation and S-duality in N=4 SYM
• 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
• 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
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• 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
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Progress and prospects of lattice supersymmetry
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Konishi OPE coefficient at the five loop order
• The su(2|3) Undynamic Spin Chain
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Lattice studies of supersymmetric gauge theories
• 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
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• Bethe ansatz equations for open spin chains from giant gravitons
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• On the Spectrum of the AdS_5xS^5 String at large lambda
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• 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
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• The Bethe Ansatz for AdS5 x S5 Bound States
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Wrapping corrections for long range spin chains
• 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
• Integrability treatment of AdS/CFT orbifolds
• 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
• S-duality invariant perturbation theory improved by holography
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Four-loop anomalous dimensions in Leigh-Strassler deformations
• Wrapping effects in supersymmetric gauge theories
• Supergraphs and the cubic Leigh-Strassler model
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Lee-Yang Model in Presence of Defects
• Exploring conformality in lattice N=4 supersymmetric Yang--Mills