Super Self-Duality as Analyticity in Harmonic Superspace

TL;DR

This paper develops a twistor correspondence for supersymmetric Yang-Mills theories, showing their solutions can be encoded in analytic harmonic superfields satisfying generalized Cauchy-Riemann conditions, and presents an action principle for these conditions.

Contribution

It introduces a novel twistor correspondence for supersymmetric Yang-Mills theories and formulates an action principle based on harmonic superfields.

Findings

Solutions are encoded in analytic harmonic superfields.

A new action principle for these superfields is derived.

The approach links self-duality equations to analyticity in harmonic superspace.

Abstract

A twistor correspondence for the self-duality equations for supersymmetric Yang-Mills theories is developed. Their solutions are shown to be encoded in analytic harmonic superfields satisfying appropriate generalised Cauchy-Riemann conditions. An action principle yielding these conditions is presented.