Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension

Abstract

We review the computation of the anomalous dimension of twist operators in the planar limit of N=4 SYM using the asymptotic Bethe ansatz and demonstrate how this quantity is obtained at weak, strong and intermediate values of the coupling constant. The anomalous dimension of twist operators in the limit of large Lorentz spin played a major role in the construction as well as in many tests of the asymptotic Bethe equations, this aspect of the story is emphasised.

19 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: typos fixed, references and comments added, v4: typos fixed

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Cited by in corpus (11)

• Quantum spectral curve as a tool for a perturbative quantum field theory
• Asymptotic one-point functions in AdS/dCFT
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Exact Bremsstrahlung and Effective Couplings
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Splitting of Folded Strings in AdS_4*CP^3