Localization and mass spectrum of $q-$form fields on branes

Abstract

In this paper, we investigate localization of a bulk massless q-form field on codimension-one brane by using a new Kaluza-Klein (KK) decomposition, for which there are two types of KK modes for the bulk q-form field, the q-form and (q-1)-form modes. The first modes may be massive or massless while the second ones are all masselss. These two types fo KK modes satisfy twy Schrodinger-like equations. For a five-dimensional brane model with a finite dimension, the spectrum of a bulk 3-form field on the brane consists of some massive bound 3-form KK modes as well as some massless bound 2-form ones with different configuration along the extra dimension. These 2-form modes are different form those obtained from a bulk 2-form field. For a five-dimensional degenerated Bloch brane model with an infinite extra dimension, some massive 3-form resonant KK modes and corresponding massless 2-form resonant ones are obtained for a bulk 3-form field.

7 pages, 20 figures

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• Localization mechanism of $q-$form field on the brane-world by coupling with gravity
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• Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds
• Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds
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• Localization of $q$-form field on squared curvature gravity domain wall brane coupling with gravity and background scalar
• Analytical Solution for Bosonic Fields in the FRW Multiply Warped Braneworld