N-Complexes and Higher Spin Gauge Fields

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.