On the origin of constrained superfields

TL;DR

This paper introduces a new method for deriving constrained superfields in supersymmetry and supergravity, enabling selective component removal and unifying various known constraints through a systematic approach.

Contribution

It proposes a novel constraint framework that, combined with the goldstino multiplet, consistently eliminates specific components from superfields, clarifying their origin and derivation.

Findings

New constraint method for superfield component removal

Unified derivation of known superfield constraints

Illustrative examples demonstrating the approach

Abstract

In this work we analyze constrained superfields in supersymmetry and supergravity. We propose a constraint that, in combination with the constrained goldstino multiplet, consistently removes any selected component from a generic superfield. We also describe its origin, providing the operators whose equations of motion lead to the decoupling of such components. We illustrate our proposal by means of various examples and show how known constraints can be reproduced by our method.