Brane world sum rules and the AdS soliton

TL;DR

This paper explores the constraints on brane world models across various dimensions, revealing that negative tension branes are necessary in five dimensions but can be avoided in higher dimensions, exemplified by a six-dimensional model with only positive tension branes.

Contribution

It introduces generalized brane world sum rules for arbitrary dimensions and presents a six-dimensional model that circumvents the need for negative tension branes.

Findings

Negative tension branes are required in five-dimensional models.

In higher dimensions, negative tension branes can be avoided.

A six-dimensional model with only positive tension branes is constructed.

Abstract

We discuss brane world sum rules for compactifications involving an arbitrary number of spacetime dimensions. One of the most striking results derived from such consistency conditions is the necessity for negative tension branes to appear in five-dimensional scenarios. We show how this result can be evaded for brane world models with more than five dimensions. As an example, we consider a novel realization of the Randall-Sundrum scenario in six dimensions involving only positive tension branes. A complete account of our results appeared in hep-th/0106140.