Component Actions of Liberated $\mathcal{N} = 1$ Supergravity and New Fayet-Iliopoulos Terms in Superconformal Tensor Calculus

TL;DR

This paper computes the detailed component actions of new $ abla$-enlarged supergravity theories, including those with novel Fayet-Iliopoulos terms, revealing their scalar potentials and fermionic interactions, and clarifying previous theoretical constraints.

Contribution

It provides explicit component-level formulations of recently proposed supergravity models with enlarged scalar potentials and new Fayet-Iliopoulos terms, expanding understanding of their structure and constraints.

Findings

Component actions explicitly derived

New scalar potentials characterized

Fermionic interactions identified and analyzed

Abstract

We explicitly compute the component action of certain recently discovered new $\mathcal{N} = 1$ supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become singular when supersymmetry is unbroken. They are the "Liberated Supergravity" introduced by Farakos, Kehagias and Riotto, and supergravities with a new Kahler-invariant Fayet-Iliopoulos term proposed by Antoniadis, Chatrabhuti, Isono, and Knoops. This paper is complementary to our previous papers [Phys. Rev. D 103 (2021), 025008 and 105006], in which new constraints on the coupling constants of those new theories were found. In this paper we spell out many details that were left out of our previous papers.