Conformal Invariance of Partially Massless Higher Spins

TL;DR

This paper demonstrates the existence of conformally invariant theories for all spins in four-dimensional de Sitter space, extending known models to a broader class of higher-spin fields with gauge invariance.

Contribution

It introduces a general class of conformally invariant partially massless higher-spin theories in d=4, expanding beyond the previously known Maxwell and spin 2 models.

Findings

Existence of conformally invariant higher-spin models in de Sitter space.

Extension of gauge invariance to all spins.

Broader catalog of partially massless theories.

Abstract

We show that there exist conformally invariant theories for all spins in d=4 de Sitter space, namely the partially massless models with higher derivative gauge invariance under a scalar gauge parameter. This extends the catalog from the two known gauge models -- Maxwell and partially massless spin 2 -- to all spins.