2–6 Sept 2024
University of Southampton
Europe/London timezone

Elliptic Integrable Models and Their Spectra from Superconformal Indices

5 Sept 2024, 10:00
30m
B46/LTA (University of Southampton)

B46/LTA

University of Southampton

Plenary talk Plenary session

Speaker

Anton Nedelin (KCL)

Description

In this 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. If time permits, I will also touch upon the relation of our construction to 5D ramified instantons.

This talk is based on a series of works in collaboration with Shlomo Razamat, Belal Nazzal, and Hee-Cheol Kim.

Link to publication (if applicable)

https://arxiv.org/abs/2305.09718
https://arxiv.org/abs/2303.07368
+ one coming in June/July

Author

Anton Nedelin (KCL)

Co-authors

Prof. Hee-Cheol Kim (POSTECH, Pohang) Prof. Shlomo Razamat (Technion)

Presentation materials