Topological mass term in effective Brane-World scenario with torsion

TL;DR

This paper explores a five-dimensional braneworld model with a Kalb-Ramond field linked to torsion, analyzing its compactification, interactions with matter, and the emergence of a topological mass term affecting gauge fields.

Contribution

It introduces a novel effective four-dimensional model with torsion and topological mass terms, analyzing their implications without gauge fixing.

Findings

Presence of a topological charge from a topological mass term.

Interactions between Kalb-Ramond field and gauge/scalar matter fields.

Consistency of the model with cosmic string configurations.

Abstract

In this work we investigate a braneworld scenario where a Kalb-Ramond field propagates, together with gravity, in a five dimensional AdS slice. The rank-2 Kalb-Ramond field is associated with torsion. We study the compactification of the Kalb-Ramond field to four dimensional space-time without gauge fixing, focusing on the effects of torsion. On the brane the Kalb-Ramond field interacts with $A_{\mu}$-gauge and scalar matter fields. We analyze the propagators of this theory and as an application investigate the consistency of such a model in the presence of a cosmic string configuration. One interesting feature of this model is the presence of topological charge coming from a topological mass term that couples the gauge field $A_{\mu}$ with Kalb-Ramond modes.