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**Video URL**
http://pirsa.org/20120006

## Abstract

We introduce the notions of (G,q)-opers and Miura (G,q)-opers, where G is a simply-connected complex simple Lie group, and prove some general results about their structure. We then establish a one-to-one correspondence between the set of (G,q)-opers of a certain kind and the set of nondegenerate solutions of a system of XXZ Bethe Ansatz equations. This can be viewed as a generalization of the so-called quantum/classical duality which I studied with D. Gaiotto several years ago. q-Opers generalize classical side, while on the quantum side we have more general XXZ Bethe Ansatz equations. The generalization goes beyond the scope of physics of N=2 supersymmetric gauge theories.

## Details

**Talk Number**20120006

**Speaker Profile**Peter Koroteev

**Date**

- Mathematical Physics

**Series**

**Source**

**Subject**Mathematical Physics

- Mathematical physics

**Scientific Area**

- Scientific Series

**Talk Type**