N-Complexes and Higher Spin Gauge Fields

TL;DR

This paper reviews the role of N-complexes, algebraic structures with a linear operator satisfying d^N=0, in describing higher spin gauge fields, highlighting their properties and relevance.

Contribution

It provides a concise review of N-complexes and their potential application to higher spin gauge field theories, emphasizing their algebraic properties and significance.

Findings

N-complexes involve a linear operator with d^N=0.

Evidence suggests N-complexes are relevant to higher spin gauge fields.

Elementary properties of N-complexes are summarized.

Abstract

$N$-complexes have been argued recently to be algebraic structures relevant to the description of higher spin gauge fields. $N$-complexes involve a linear operator $d$ that fulfills $d^N = 0$ and that defines a generalized cohomology. Some elementary properties of $N$-complexes and the evidence for their relevance to the description of higher spin gauge fields are briefly reviewed.