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