Solitons in Brane Worlds II

TL;DR

This paper investigates soliton solutions involving intersecting dilatonic branes and domain walls, revealing how probe brane dynamics in such backgrounds relate to lower-dimensional models, especially emphasizing the role of charge neutrality.

Contribution

It provides a detailed analysis of intersecting brane solutions in the context of Randall-Sundrum models, highlighting the conditions under which lower-dimensional dynamics are accurately reproduced.

Findings

Probe brane dynamics match lower-dimensional models when the source brane is uncharged.

The solution describes a non-extreme dilatonic brane intersecting a domain wall.

Dynamics of probe branes depend on the charge state of the source brane.

Abstract

We study the solution describing a non-extreme dilatonic (p+1)-brane intersecting a D-dimensional extreme dilatonic domain wall, where one of its longitudinal directions is along the direction transverse to the domain wall, in relation to the Randall-Sundrum type model. The dynamics of the probe (p+1)-brane in such source background reproduces that of the probe p-brane in the background of the (D-1)-dimensional source p-brane. However, as for a probe test particle, the dynamics in one lower dimensions is reproduced, only when the source (p+1)-brane is uncharged.