On resonances of q-forms in thick p-branes.

In this work we consider q-form fields in a p-brane embedded in a D = (p+2) spacetime. The membrane is generated by a domain wall in a Randall-Sundrum-like scenario. We study conditions for localization of zero modes of these fields. The expression agrees and generalizes the one found for zero-, one-, two- and three-forms in a 3-brane. We also point out that, even without the dilaton coupling, some form fields are localized in the membrane. The massive modes are considered and the resonances are calculated using a numerical method. We find that different spaces have identical resonance structures, which we call dual spaces of resonances (DSR). [ABSTRACT FROM AUTHOR]