Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity

Abstract

We review the role of integrability in certain aspects of N=4 SYM which go beyond the planar spectrum. In particular, we discuss integrability in relation to non-planar anomalous dimensions, multi-point functions and Maldacena-Wilson loops.

24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: section on Wilson loops updated, v4: references added, journal version

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Cited by in corpus (27)

• Tailoring Three-Point Functions and Integrability
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• Spin Matrix Theory: A quantum mechanical model of the AdS/CFT correspondence
• On Marginal Deformations and Non-Integrability
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• On four-point functions and integrability in N=4 SYM: from weak to strong coupling
• Non-planar Anomalous Dimensions in the sl(2) Sector
• Correlation functions and representation bases in free N=4 Super Yang-Mills
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• A basis for large operators in N=4 SYM with orthogonal gauge group
• Crosscap States in Integrable Field Theories and Spin Chains
• Nonplanar integrability at two loops
• Positivity of hexagon perturbation theory
• Beyond the Planar Limit in ABJM
• The Panorama of Spin Matrix Theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Dressed Wilson Loops on S^2
• Negative anomalous dimensions in N=4 SYM
• Nonplanar Integrability and Parity in ABJ Theory
• Non-planar operator mixing by Brauer representations
• Splitting of Folded Strings in AdS_4*CP^3
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair