Localized fields on scalar global defects

TL;DR

This paper studies how scalar modes localize on a p-brane modeled as a scalar global defect, deriving effective actions with phi^4 potentials and linking these defects to black p-branes in specific limits.

Contribution

It introduces a framework for analyzing mode localization on scalar global defects and connects these defects to black p-branes, providing new insights into their effective actions.

Findings

Localized scalar modes are derived from fluctuations around the defect.

Effective actions exhibit phi^4-type potentials, becoming flatter in lower dimensions.

Scalar global defects relate to black p-branes in certain regimes.

Abstract

We investigate the localization of modes on the worldvolume of a p-brane embedded in p+d+1-dimensional spacetime. The p-brane here is such that its profile is regarded as a scalar global defect and the localized modes are scalar modes that come from the fluctuations around such defect. The effective action on the brane is computed and the induced potentials are typically phi^4-type potentials that are flatter for lower d-dimensions. We also make a connection of such scalar global defects with black p-branes in certain limits.