# Higher spin algebras as higher symmetries

## TL;DR

This paper explores the structure of higher spin algebras as higher symmetries in free field theories, aiming to advance understanding of higher-spin interactions, with initial results demonstrated on scalar fields.

## Contribution

It provides an analysis of higher spin algebras as symmetries in free theories, contributing to the broader goal of understanding higher-spin interactions.

## Key findings

- Reviewed results for scalar field symmetries
- Identified algebraic structures of higher spin symmetries
- Set groundwork for future interaction studies

## Abstract

The exhaustive study of the rigid symmetries of arbitrary free field theories is motivated, along several lines, as a preliminary step in the completion of the higher-spin interaction problem in full generality. Some results for the simplest example (a scalar field) are reviewed and commented along these lines.