Localization of gravitino field with non-minimal coupling on a thick brane

Abstract

Abstract In this paper, we investigate localization of a five-dimensional gravitino field on a thick brane with non-minimal coupling. By choosing the gauge condition Ψ z = 0, the equations of the Kaluza-Klein (KK) modes of gravitino are obtained. Compared with the case without non-minimal coupling,considering non-minimal coupling can make the zero mode and massive KK modes of a five-dimensional free massless gravitino field be localized on the brane. By considering the Yukawa-like coupling and the non-minimum coupling simultaneously, it is found that the non-minimal coupling will change the mass spectrum of the KK modes and provide more possibility to localize KK modes.