Component action of nilpotent multiplet coupled to matter in 4 dimensional ${\cal N}=1$ supergravity

TL;DR

This paper develops the component action for a system combining matter and a nilpotent multiplet within 4D ${ m } \\mathcal{N}=1$ supergravity, highlighting higher-dimensional operators from nonlinear supersymmetry.

Contribution

It provides the explicit construction of the component action including matter and nilpotent multiplets in both global and local supersymmetry frameworks.

Findings

Derived higher-dimensional operators involving Goldstino, matter, and gravitino fields.

Demonstrated nonlinear realization of supersymmetry in the component action.

Extended the understanding of matter coupling in supergravity with nilpotent multiplets.

Abstract

We construct the component action of the system including an ordinary matter and a nilpotent multiplet in global and local supersymmetric framework. The higher dimensional operators of not only Goldstino but also matter and gravitino fields are shown, which appear due to nonlinearly realized supersymmetry.