The super self-dual matreoshka

TL;DR

This paper reviews the harmonic space approach to the twistor transform for supersymmetric self-dual Yang-Mills equations and introduces a matreoshka-like structure in solutions based on N-extended supersymmetry.

Contribution

It presents an explicit construction of solutions to supersymmetric self-dual Yang-Mills equations revealing a nested matreoshka-like structure derived from the N=0 core.

Findings

Harmonic space formulation of the twistor transform is reviewed.

A harmonic-twistor correspondence for N-extended supersymmetric gauge theories is established.

Solutions exhibit a matreoshka-like nested structure based on the N=0 core.

Abstract

In this talk we review the harmonic space formulation of the twistor transform for the supersymmetric self-dual Yang-Mills equations. The recently established harmonic-twistor correspondence for the N-extended supersymmetric gauge theories is described. It affords an explicit construction of solutions to these equations which displays a remarkable matreoshka-like structure determined by the N=0 core.