Probing Solitons in Brane Worlds

TL;DR

This paper investigates the dynamics of probe p-branes within localized source solutions in brane world scenarios, revealing that lower-dimensional descriptions are insufficient and proposing a higher-dimensional (p+1)-brane as a more accurate model.

Contribution

It demonstrates that p-branes within domain walls exhibit exotic behavior and proposes a (p+1)-brane with a transverse longitudinal direction as a better description in brane worlds.

Findings

Probe dynamics differ from lower-dimensional expectations.

p-branes in domain walls may represent an exotic phase.

A (p+1)-brane with a transverse direction is proposed as the correct model.

Abstract

We study dynamics of a probe p-brane and a test particle in the field background of fully localized solutions describing the source p-brane within the worldvolume of the source domain wall. We find that the probe dynamics in the background of the source p-brane in one lower dimensions is not reproduced, indicating that p-branes within the worldvolume of domain walls perhaps describe an exotic phase of p-branes in brane worlds. We speculate therefore that a (p+1)-brane where one of its longitudinal directions is along the direction transverse to the domain wall is the right description of the p-brane in the brane world with the expected properties.