On the frame-like multispinor formalism for massive higher spins in d=4

TL;DR

This paper provides an explicit, gauge-invariant, frame-like formalism for describing massive higher spin fields in four dimensions, solving on-shell constraints and unfolded equations for arbitrary spins.

Contribution

It introduces a novel explicit solution to on-shell constraints for massive higher spins, extending the formalism to arbitrary integer and half-integer spins.

Findings

Explicit solutions for massive spin 2 and 5/2 fields

Generalization to arbitrary integer and half-integer spins

Solutions to unfolded equations for higher derivatives

Abstract

In this paper, we fill some gap in the existing literature on higher spins by presenting an explicit solution to the on-shell constraints for a frame-like, gauge invariant description of massive, higher spin fields in d=4. We begin with the massive spin 2 and massive spin 5/2 as simple illustrations, and then consider arbitrary integer and half-integer spin. We also show that our results allow us to find explicit solutions to the so-called unfolded equations that determine all higher-order derivatives of the physical field that are non-zero on-shell.