Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin

Abstract

These lectures give a basic introduction to $\mathcal{N}=4$ SYM theory and the integrability of its planar spectral problem as seen from the perspective of a recent development, namely the application of integrability techniques in the study of one-point functions in a defect version of the theory.

45 pages, 5 figures, based on lectures given at the Les Houches Summer School "Integrability: From Statistical Systems to Gauge Theory," 2016

References in corpus (10)

• Form factors at strong coupling via a Y-system
• A Shortcut to the Q-Operator
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• AdS/dCFT one-point functions of the SU(3) sector
• Transport Properties of Holographic Defects
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Nonplanar Integrability
• The Four-Loop Dressing Phase of N=4 SYM
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• Two-point functions of SU(2)-subsector and length-two operators in dCFT