Zero-Curvature Representation and Dual Formulations of $N=2$ Supersymmetric Gauge Theory in Harmonic Superspace

TL;DR

This paper explores alternative formulations of N=2 supersymmetric Yang-Mills theory using harmonic superfields and prepotentials, revealing on-shell zero-curvature conditions and equivalence to standard component equations.

Contribution

It introduces new harmonic superfield formulations with unconstrained prepotentials, highlighting the zero-curvature condition as an on-shell analyticity requirement.

Findings

Equivalent equations of motion to standard SYM^2_4-theory

Zero-curvature condition appears only on-shell

Alternative formulations use unconstrained harmonic prepotentials

Abstract

Analytical harmonic superfields are the basic variables of a standard harmonic formalism of SYM^2_4-theory. We consider superfield actions for alternative formulations of this theory using the unconstrained harmonic prepotentials. The corresponding equations of motion are equivalent to the component field equations of SYM^2_4-theory. The analyticity condition appears only on-shell as the zero-curvature equation in the alternative formulations.