Theoretical Physics Seminar: Anton Nedelin

Title: Relativistic elliptic integrable models and their spectra from superconformal indices

Abstract: In this talk I will present a method of derivation of both previously known and novel integrable finite difference operators and their spectra using superconformal indices of certain N=1 supersymmetric gauge theories. I will start with a very  brief review of the 4d compactifications of various 6d SCFTs leading to the wide class of 4d gauge theories. Then I will show how to derive various elliptic integrable systems using superconformal indices of these 4d theories as well as some intuition coming from the geometry of 6d compactifications. Finally I will briefly discuss novel method of obtaining eigenfunctions of these integrable operators using our field theory constructions.