  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.
