On the ODE/IM correspondence for minimal models

TL;DR

This paper demonstrates how minimal conformal field theories with central charge less than one can be derived from the monodromy properties of specific ordinary differential equations within the ODE/IM correspondence framework.

Contribution

It reveals a natural emergence of minimal models from the monodromy analysis of differential equations, advancing the understanding of the ODE/IM correspondence.

Findings

Minimal models with c<1 are connected to monodromy of differential equations.

The ODE/IM correspondence framework explains the origin of these models.

Monodromy properties encode the structure of minimal conformal field theories.

Abstract

Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c<1 emerge naturally from the monodromy properties of certain families of ordinary differential equations.