Results in Kalb-Ramond field localization and resonances on deformed branes

TL;DR

This paper investigates how deformed brane structures influence the localization and resonance phenomena of the Kalb-Ramond gauge field in a five-dimensional AdS spacetime, revealing the impact of defect deformation on field behavior.

Contribution

It introduces a novel analysis of Kalb-Ramond field localization on deformed branes generated by a modified $ ext{λ}\phi^4$ potential, highlighting the effects of internal defect structures.

Findings

Resonance structures are identified in massive modes.

Deformation affects the localization and resonance properties of the field.

Internal structures in defects influence the background spacetime and field behavior.

Abstract

We make an analysis about several aspects of localization of the Kalb-Ramond gauge field in a specific four dimensional AdS membrane embedded in a five dimensional space-time. The membrane is generated from a deformation of the $\lambda \phi^4$ potential and belongs to a new class of defect solutions. In this context we find resonance structures in the analysis of massive modes. The study of deformed defects is important because they contain internal structures and these may have implications to the way the background space-time is constructed and the way its curvature behaves. The main objective here is to observe the contributions of the deformation procedure to the resonances and the well known field localization methods.