# Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms

## TL;DR

This paper develops self-interactions for a vector multiplet in conformal supergravity, enabling new models of spontaneously broken local supersymmetry and extending previous Fayet-Iliopoulos term constructions.

## Contribution

It introduces novel self-couplings for vector multiplets within conformal supergravity, expanding the framework for supersymmetry breaking models.

## Key findings

- Constructed new vector multiplet self-interactions.
- Enabled models with spontaneously broken local supersymmetry.
- Extended Fayet-Iliopoulos term applications.

## Abstract

As an extension of the recent construction of generalised Fayet-Iliopoulos terms in ${\cal N}=1$ supergravity given in [1], we present self-interactions for a vector multiplet coupled to conformal supergravity. They are used to construct new models for spontaneously broken local supersymmetry.