Topological mass mechanism and exact fields mapping

TL;DR

This paper introduces a class of exact mappings between models with topological mass mechanisms and purely topological models across various dimensions, providing explicit field and action correspondences.

Contribution

It generalizes previous results by establishing closed-form mappings between different topological models in arbitrary dimensions, including BF and Chern-Simons-like actions.

Findings

Explicit field mappings for topological models

Mappings of actions and propagators

Generalization to arbitrary dimensions

Abstract

We present a class of mappings between models with topological mass mechanism and purely topological models in arbitrary dimensions. These mappings are established by directly mapping the fields of one model in terms of the fields of the other model in closed expressions. These expressions provide the mappings of their actions as well as the mappings of their propagators. For a general class of models in which the topological model becomes the BF model the mappings present arbitrary functions which otherwise are absent for Chern-Simons like actions. This work generalizes the results of [1] for arbitrary dimensions.