2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49961We 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.RevTeX with 6 embedded figures, 17 pages, typos correctedHigh Energy Physics - Theorytext