Elliptic Calogero-Sutherland model and conformal field theory

TL;DR

This paper explores the elliptic Calogero-Sutherland model's connection to conformal field theory, introducing a second quantization approach that yields a new soliton equation and a non-relativistic Coleman correspondence.

Contribution

It presents a novel second quantization of the elliptic Calogero-Sutherland model and links it to conformal field theory, resulting in new soliton equations and a non-relativistic Coleman correspondence.

Findings

Derived a new soliton equation from the second quantization.

Established a non-relativistic variant of the Coleman correspondence.

Connected elliptic Calogero-Sutherland models with conformal field theory.

Abstract

In a project with Gordon Semenoff on 1+1 dimensional QCD many years ago (when he was my postdoc advisor), we stumbled over a method to solve Calogero-Moser-Sutherland models using gauge theories. Since then, these models have reappeared in different forms in many of my research projects. In this contribution, I describe a recent such project where a second quantization of the elliptic Calogero-Sutherland model led us to a new soliton equation and a non-relativistic variant of the Coleman correspondence. (Work with Bjorn Berntson and Jonatan Lenells.)