New conformal field theory from $\mathcal{N}=(0,2)$ Landau-Ginzburg model

TL;DR

This paper constructs a new conformal field theory from an $ =(0,2)$ Landau-Ginzburg model, revealing a modular invariant partition function beyond ADE classification, involving a novel parafermion variant.

Contribution

It introduces a new conformal field theory arising from an $ =(0,2)$ Landau-Ginzburg model's IR fixed point, expanding the landscape beyond ADE classifications.

Findings

Identifies a modular invariant partition function outside ADE classification.

Discovers a new parafermion variant in the left-moving sector.

Provides an example of novel CFT structure from $ =(0,2)$ models.

Abstract

By studying the infra-red fixed point of an $\mathcal{N}=(0,2)$ Landau-Ginzburg model, we find an example of modular invariant partition function beyond the ADE classification. This stems from the fact that a part of the left-moving sector is a new conformal field theory which is a variant of the parafermion model.