Speaker
Description
In my talk I will review our recent progress in understanding the intricate relationship between elliptic finite-difference integrable models and 4D superconformal indices. Although this connection has been known for some time, we have recently achieved significant advancements in this area. I will begin by briefly reviewing how these models arise in superconformal index computations, particularly when surface defects are introduced into 4D gauge theory. I will then discuss several such models that we have recently derived using these constructions. Finally, I will present our novel, physics-inspired approach to deriving the spectra of elliptic integrable models that have not been previously known. I will also touch upon the relation of our construction to 5D ramified instanton partition functions.