Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model

TL;DR

This paper constructs and solves a family of heterotic deformations of the O(N) sigma model with reduced supersymmetry at large N, and provides an alternative superfield formulation for related models.

Contribution

It introduces heterotic deformations of the O(N) sigma model, solves them at large N, and offers a new superfield formulation for the heterotic CP^N sigma model.

Findings

Successfully solved the heterotic O(N) sigma model at large N.

Developed an alternative superfield formulation for the heterotic CP^N sigma model.

Demonstrated supersymmetry breaking from (1,1) to (0,1).

Abstract

In this paper we build a family of heterotic deformations of the O(N) sigma model. These deformations break (1,1) supersymmetry down to (0,1) symmetry. We solve this model at large N. We also find an alternative superfield formulation of the heterotic CP^N sigma model which was discussed in the literature before.