Geometry, Isometries and Gauging of (2,1) Heterotic Sigma-Models

TL;DR

This paper reviews the geometry and symmetries of (2,1) heterotic sigma-models, focusing on isometries and their gauging, and constructs specific potentials and gauged actions for particular models.

Contribution

It provides a detailed analysis of isometry conditions and constructs potentials crucial for gauging symmetries in (2,1) heterotic sigma-models.

Findings

Identified conditions for isometry symmetries in (2,1) models

Constructed potentials essential for gauging symmetries

Derived the gauged action for a specific class of models

Abstract

The geometry of (2,1) supersymmetric sigma-models is reviewed and the conditions under which they have isometry symmetries are analysed. Certain potentials are constructed that play an important role in the gauging of such symmetries. The gauged action is found for a special class of models.