Frame-like gauge invariant formulation for massive high spin particles

TL;DR

This paper develops a gauge-invariant, frame-like formulation for massive high spin particles in (A)dS spaces, extending previous massless formulations to include arbitrary spins and analyzing various massless and partially massless limits.

Contribution

It introduces a unified gauge-invariant framework for massive high spin particles of arbitrary integer and half-integer spins in (A)dS spaces, generalizing existing massless theories.

Findings

Constructed gauge-invariant descriptions for massive spin 2 and 3 particles.

Extended the formulation to arbitrary integer and half-integer spins.

Analyzed massless and partially massless limits in (A)dS spaces.

Abstract

In this paper we extend a so called frame-like formulation of massless high spin particles to massive case. We start with two explicit examples of massive spin 2 and spin 3 particles and then construct gauge invariant description for arbitrary integer spin case. Similarly, for the fermionic case we start with first non-trivial example -- massive spin 5/2 particle and then construct gauge invariant description for arbitrary half-integer spin case. In all cases we consider massive particles in (A)dS spaces with arbitrary cosmological constant (including flat Minkowski space) and this allows one to investigate all possible massless and partially massless limits for such particles.