Unravelling the On-shell Constraints of Self-dual Supergravity Theories

TL;DR

This paper reviews a harmonic space method for constructing solutions to superfield equations in N-extended self-dual supergravity, facilitating component analysis through a specific superspace gauge.

Contribution

It introduces a harmonic space approach to solve superfield equations in self-dual supergravity, enabling detailed component analysis.

Findings

Harmonic space method effectively constructs solutions to superfield equations.

A superspace gauge condition simplifies component analysis.

Provides a framework for analyzing N-extended self-dual supergravity theories.

Abstract

We review a construction, using the harmonic space method, of solutions to the superfield equations of motion for N-extended self-dual supergravity theories. A superspace gauge condition suitable for the performance of a component analysis is discussed.