Title: Quantum Chaos and Integrability in Super-Yang-Mills Theory

Abstract: In this talk we will consider the spectrum of anomalous dimensions in N=4 super-Yang-Mills and related theories. We will discuss how the statistical properties of the perturbative spectrum are consistent with integrability in the planar limit and quantum chaos at finite number of colours where the spectrum is well described by GOE random matrix theory. We will then describe how the integrability of the planar-limit can be used to rewrite the computation of non-planar corrections to the one-loop anomalous dimensions in terms of scalar products of off-shell Bethe states or, alternatively, hexagon-like functions.

Talk – Video

Talk – Slides