Exact solutions of (0,2) Landau-Ginzburg models

TL;DR

This paper provides exact solutions for (0,2) Landau-Ginzburg models, identifying their low-energy conformal fixed points, including heterotic minimal models and flows to N=(2,2) models, advancing understanding of their structure.

Contribution

It explicitly characterizes several classes of (0,2) LG models and their conformal fixed points, including heterotic minimal models and RG flows to N=(2,2) models.

Findings

Identification of (0,2) fixed points as heterotic minimal models

Explicit solutions for certain (0,2) LG models

Demonstration of RG flows to N=(2,2) minimal models

Abstract

In this paper we study the low energy physics of Landau-Ginzburg models with N=(0,2) supersymmetry. We exhibit a number of classes of relatively simple LG models where the conformal field theory at the low energy fixed point can be explicitly identified. One interesting class of fixed points can be thought of as "heterotic" minimal models. Other examples include N=(0,2) renormalization group flows that end up at N=(2,2) minimal models and models with non-abelian symmetry.