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 spacetime. The membrane is generated from a deformation of the λφ 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.
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.Comment: 12 pages, 8 figures. Abstract improved. Revised and enlarged version.
To appear in Physical Review
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