Massive sigma models with (p,q) supersymmetry

TL;DR

This paper classifies scalar potentials compatible with (p,q) supersymmetry in 2D sigma models, leading to the discovery of numerous new models with extended supersymmetry and potentials.

Contribution

It generalizes previous results to find all scalar potentials consistent with (p,q) supersymmetry, unveiling many new supersymmetric sigma models.

Findings

Many new (2,2) and (4,4) supersymmetric sigma models identified.

General scalar potentials compatible with (p,q) supersymmetry determined.

Extension of previous special-case results to more general models.

Abstract

We determine the general scalar potential consistent with (p,q) supersymmetry in two-dimensional non-linear sigma models with torsion, generalizing previous results for special cases. We thereby find many new supersymmetric sigma models with potentials, including new (2,2) and (4,4) models.