Yang-Mills fields for Cosets

TL;DR

This paper investigates theories with degenerate kinetic terms, typical at strong coupling in N=2 super Yang-Mills, and derives supersymmetric sigma model actions with various target space components.

Contribution

It provides explicit computations of supersymmetric sigma model actions with matter and Yang-Mills superfield strengths as target spaces in two dimensions.

Findings

Derived generalized N=1,2 supersymmetric sigma model actions.

Identified target space components including matter and superfield strengths.

Addressed theories with degenerate kinetic terms at strong coupling.

Abstract

We consider theories with degenerate kinetic terms such as those that arise at strong coupling in $N=2$ super Yang-Mills theory. We compute the components of generalized $N=1,2$ supersymmetric sigma model actions in two dimensions. The target space coordinates may be matter and/or Yang-Mills superfield strengths.