Speaker
Description
The link between the planar spectrum of 4d conformal field theories and integrable systems (both classical and quantum) has had far-reaching implications for the understanding of gauge theory more generally. However, much of this intuition has come from the study of the most supersymmetric case, which is therefore highly unrealistic. I will argue that there is a lot to be learnt by looking at less supersymmetric theories, such as marginal deformations and orbifolds, where integrability is generically lost but one still finds interesting statistical models appearing, as well as symmetry structures that are not naively visible. I will outline several directions where progress is possible as well as the physical and mathematical tools that are expected to play a role in future developments.
