Bulk Fields in Delocalized Dilatonic p-Branes

TL;DR

This paper investigates how different bulk fields can be localized on a delocalized dilatonic p-brane, demonstrating that all bosonic and fermionic zero modes are normalizable and confined to the brane regardless of the dilaton coupling.

Contribution

It shows that all bosonic and fermionic bulk fields can be localized on the delocalized dilatonic p-brane for any dilaton coupling value, which was not previously established.

Findings

All bulk bosonic fields are localizable on the brane.

All bulk fermionic fields are localizable on the brane.

Localization is independent of the dilaton coupling parameter.

Abstract

We study localization properties of various bulk fields on a dilatonic p-brane which is delocalized along its transverse directions except one. We find that all the bosonic and fermionic bulk fields can be localized on the delocalized dilatonic p-brane in a strict sense, namely the Kaluza-Klein zero modes of the bulk fields are normalizable and are localized around the brane, for any values of the dilaton coupling parameter.