Speaker
Anton Nedelin
(King's College London)
Description
In this talk, I will present a systematic construction of elliptic integrable systems from the superconformal indices of 4d N=1 gauge theories, and show how this viewpoint can help us in understanding these theories. After outlining the general procedure, I will recover the Ruijsenaars-Schneider and van Diejen models and introduce several new integrable systems that naturally emerge in this framework. I will then discuss spectral properties guided by insights from the associated gauge theories. I will conclude with a detailed look at a recently proposed family of models on the A2 and A3 root systems, highlighting their structure and open questions.
