Accidents in (0,2) Landau-Ginzburg theories

TL;DR

This paper investigates the impact of accidental symmetries in (0,2) superconformal field theories derived from Landau-Ginzburg models, emphasizing their importance in correctly identifying IR fixed points and properties.

Contribution

It introduces new tools for detecting accidental symmetries in (0,2) Landau-Ginzburg models and proposes a conjecture regarding the toric structure of the SCFT moduli space.

Findings

Identification of accidental symmetries is crucial for IR fixed point analysis.

Development of tools for symmetry detection in (0,2) models.

Proposal of a conjecture on the toric structure of the moduli space.

Abstract

We study the role of accidental symmetries in two-dimensional (0,2) superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg theories. These accidental symmetries are ubiquitous, and, unlike in the case of (2,2) theories, their identification is key to correctly identifying the IR fixed point and its properties. We develop a number of tools that help to identify such accidental symmetries in the context of (0,2) Landau-Ginzburg models and provide a conjecture for a toric structure of the SCFT moduli space in a large class of models. We also give a self-contained discussion of aspects of (0,2) conformal perturbation theory.