On resonances of q-forms in thick p-branes
Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras do Sertão Central R. Epitácio Pessoa, 2554, 63.900-000 Quixadá, Ceará, Brazil
2 Departamento de Física, Universidade Federal do Ceará - Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil
3 Instituto Federal de Educação, Ciência e Tecnologia do Ceará - Av. Treze de Maio, 2081, Benfica, 60040-531 Fortaleza, Ceará, Brazil
Accepted: 5 December 2011
In this work we consider q-form fields in a p-brane embedded in a D=(p+2) space-time. 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).
PACS: 03.50.-z – Classical field theories / 04.50.-h – Higher-dimensional gravity and other theories of gravity / 11.25.Uv – D branes
© EPLA, 2012