On the Fradkin-Vasiliev formalism in d=4

TL;DR

This paper reviews the Fradkin-Vasiliev formalism for constructing higher spin cubic interactions, highlighting its extension from massless to massive fields in four dimensions.

Contribution

It provides a concise overview of the formalism's development and its application to both massless and massive higher spin fields in four-dimensional spacetime.

Findings

Summarizes the original formulation for massless fields.

Describes the extension to massive fields.

Highlights the formalism's relevance for higher spin interactions.

Abstract

Here we provide a short review on the so-called Fradkin-Vasiliev formalism for the construction of higher spin cubic interactions. Initially it was formulated for the massless fields only, but later on it was extended to the arbitrary collections of massive and massless fields.