Vect(N) conformal fields and their exterior derivatives

TL;DR

This paper introduces a new class of conformal fields in N-dimensional space and constructs invariant exterior derivatives for these fields, advancing the understanding of their algebraic structure.

Contribution

It defines Vect(N) conformal fields and explicitly constructs their invariant exterior derivatives, a novel development in the representation theory of vector field algebras.

Findings

Defined Vect(N) conformal fields.

Constructed invariant exterior derivatives.

Enhanced understanding of conformal field representations.

Abstract

Conformal fields are a recently discovered class of representations of the algebra of vector fields in $N$ dimensions. Invariant first-order differential operators (exterior derivatives) for conformal fields are constructed.