Diffeomorphism group and conformal fields

TL;DR

This paper introduces conformal fields as a new class of modules for the vector fields on a manifold, extending tensor fields, and constructs their invariant action under the diffeomorphism group.

Contribution

It defines conformal fields as a broader class of modules for $Vect(N)$ and constructs their invariant diffeomorphism group action, establishing their fundamental properties.

Findings

Conformal fields generalize tensor fields as $Vect(N)$ modules.

Invariant diffeomorphism group action on conformal fields is constructed.

Conformal fields are invariantly defined within the framework.

Abstract

Conformal fields are a new class of $Vect(N)$ modules which are more general than tensor fields. The corresponding diffeomorphism group action is constructed. Conformal fields are thus invariantly defined.