Lectures on Three-point Functions in N=4 Supersymmetric Yang-Mills Theory

Abstract

This is a pedagogical review on the integrability-based approach to the three-point function in N=4 supersymmetric Yang-Mills theory. We first discuss the computation of the structure constant at weak coupling and show that the result can be recast as a sum over partitions of the rapidities of the magnons. We then introduce a non-perturbative framework, called the "hexagon approach", and explain how one can use the symmetries (i.e. superconformal and gauge symmetries) and integrability to determine the structure constants. This article is based on the lectures given in Les Houches Summer School "Integrability: From statistical systems to gauge theory" in June 2016.

arXiv comment58 pages. v2 An appendix added. Typos corrected. References added

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Cited by in corpus (7)

• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Nonlocal Symmetries and Factorized Scattering
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• On analytical perturbative solution of ABJM quantum spectral curve
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve