Tensor gauge field localization in branes
M. O. Tahim, W. T. Cruz, and C. A. S. Almeida

TL;DR
This paper investigates the localization of Kalb-Ramond tensor gauge fields on branes within a five-dimensional AdS space, exploring the effects of scalar field configurations and dilaton coupling on zero modes and Kaluza-Klein resonances.
Contribution
It demonstrates how scalar field configurations and dilaton coupling influence the localization of tensor gauge fields on branes in a Randall-Sundrum-like scenario.
Findings
No localized zero mode with single scalar field
No localized zero mode with two scalar fields
Dilaton coupling enables zero mode localization
Abstract
In this work we study localization of a Kalb-Ramond tensorial gauge field on a membrane described by real scalar fields. The membrane is embedded in an AdS-type five dimensional bulk space, which mimic a Randall-Sundrum scenario. First, we consider a membrane described by only a single real scalar field. In that scenarios we find that there is no localized tensorial zero mode. When we take into account branes described by two real scalar fields with internal structures, we obtain again a non-localized zero mode for a Kalb-Ramond tensorial gauge field. After modifying our model of one single scalar field by coupling the dilaton to the Kalb-Ramond field, we find that this result is changed. Furthermore, we analyze Kaluza-Klein massive modes and resonance structures.
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