Towards the full N=4 conformal supergravity action

TL;DR

This paper constructs the complete N=4 conformal supergravity action up to quadratic fermion terms, correcting previous results in the literature for the bosonic sector based on known transformation rules.

Contribution

It provides the full N=4 conformal supergravity action using known transformation rules, improving upon recent incomplete results.

Findings

Corrected the bosonic sector of the N=4 conformal supergravity action

Constructed the action up to quadratic fermion terms

Based on known non-linear transformation rules

Abstract

Based on the known non-linear transformation rules of the Weyl multiplet fields, the action of $N=4$ conformal supergravity is constructed up to terms quadratic in the fermion fields. The bosonic sector corrects a recent result in the literature.