Intersecting branes with an arbitrary excess angle

TL;DR

This paper explores all static embeddings of 4-branes in six-dimensional spacetime with negative cosmological constant, revealing solutions with intersecting branes at arbitrary angles linked to vacuum density, and discusses gravity localization and stability conditions.

Contribution

It provides a comprehensive classification of intersecting brane solutions with arbitrary excess angles in six-dimensional spacetime, including stability and gravity localization insights.

Findings

Solutions allow arbitrary excess angles related to vacuum density.

Gravity localization requires fine-tuning of brane tensions.

3-brane stability depends on additional interactions.

Abstract

We find all possible static embeddings of a 4-brane in any dimension-6 spacetime with 4-dimensional Poincare symmetry and a negative cosmological constant, subject to orbifolding across the brane. Our new solutions allow intersecting branes at an angle determined by a new dynamical parameter. A collection of branes intersecting in one 3-brane allows an arbitrary excess angle that can be related to a vacuum density along the intersection. The 3-brane must be stabilized by additional fine-tuned interactions. We also note that localization of gravity is tied to the approximate fine tuning of the brane tensions.