# Spin projection operators and higher-spin Cotton tensors in three dimensions

## TL;DR

This paper explores spin projection operators in three dimensions to derive a new representation for linearised higher-spin Cotton tensors, advancing the mathematical tools available for higher-spin theories.

## Contribution

It introduces a novel representation for higher-spin Cotton tensors using spin projection operators in three dimensions.

## Key findings

- Derived a new form of higher-spin Cotton tensors
- Enhanced mathematical framework for higher-spin theories
- Facilitated future research in three-dimensional higher-spin gravity

## Abstract

We elaborate on the spin projection operators in three dimensions and use them to derive a new representation for the linearised higher-spin Cotton tensors.