Intersecting branes with an arbitrary excess angle

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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.
RevTeX with 6 embedded figures, 17 pages, typos corrected

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