Geometric Formulation for Partially Massless Fields

TL;DR

This paper presents a gauge-invariant geometric formulation for partially massless fields in (A)dS spaces, using gauge connections and curvatures valued in specific algebraic representations.

Contribution

It introduces a novel geometric approach to describe partially massless fields with explicit gauge invariance in (A)dS spaces.

Findings

Formulation uses gauge connections and curvatures in irreducible (o(d-1,2)) o(d,1) representations.

Describes fields via two-row Young tableaux linked to spin and depth.

Provides a manifestly gauge invariant framework for partially massless fields.

Abstract

The manifestly gauge invariant formulation for free symmetric partially massless fields in $(A)dS_d$ is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of $(o(d-1,2)) o(d,1)$ described by two-row Young tableaux, in which the lengths of the first and second row are, respectively, associated with spin and depth of partial masslessness.