Localization mechanism of q -form field on the braneworld by coupling with gravity

Abstract

It is known that the scalar fields can be trapped on branes of different types, and the U(1) gauge vector fields can be localized on the thick de Sitter brane, or the thick Minkowski brane via coupling with gravity. The Kalb-Ramond fields can be localized on the Minkowski brane and the thick de-Sitter brane, with certain couplings. In this paper, with considering a coupling mechanism between the kinetic term of the q-form fields and the background spacetime, we investigate the localization of Kaluza-Klein modes for the q-form fields in D-dimensional spacetime. Concrete q-form fields are discussed within five-dimensional brane models with typical spacetime geometries: Minkowski, de Sitter, and anti–de Sitter. In the Minkowski brane case, the zero modes of various q-form fields can be localized on the brane. In the de Sitter brane case, the zero mode of the U(1) gauge vector fields can be localized on the brane. Lastly in the anti–de Sitter brane case, the zero mode of the Kalb-Ramond fields can be localized on the brane. For the massive Kaluza-Klein modes of these q-form fields, they could be localized or quasi-localized on the brane of different types. Besides, subtle and detailed behaviors of the Kaluza-Klein modes for q-form fields are observed: the zero modes could be localized on both sides of the brane, and the massive modes could be localized or quasilocalized at the brane position. Published by the American Physical Society 2025