Potentials for (p,0) and (1,1) supersymmetric sigma models with torsion

TL;DR

This paper explores the structure of scalar potentials in two-dimensional supersymmetric sigma models with torsion, providing new superfield formulations and linking different supersymmetry models.

Contribution

It introduces a general scalar potential compatible with off-shell (p,0) and (1,1) supersymmetry and develops extended superfield formulations for these models.

Findings

Derived the general scalar potential for (p,0) and (1,1) supersymmetric sigma models with torsion.

Presented an extended superfield formulation of (p,0) models.

Showed how (1,1) models can be obtained from gauged, massless (1,1) superspace formulations.

Abstract

Using (1,0) superfield methods, we determine the general scalar potential consistent with off-shell (p,0) supersymmetry and (1,1) supersymmetry in two-dimensional non-linear sigma models with torsion. We also present an extended superfield formulation of the (p,0) models and show how the (1,1) models can be obtained from the (1,1)-superspace formulation of the gauged, but massless, (1,1) sigma model.