Brane networks in AdS space

We present static solutions to Einsteinʹs equations corresponding to the most general network of N orthogonal families of (2+N)-branes in (4+N)-dimensional AdS spacetimes. The bulk cosmological constant can take a different value in each cell enclosed by intersecting branes and the extra dimensions can be compact or noncompact. In each family of branes the inter-brane spacing is arbitrary. The extra dimensions may be any or all of the manifolds, R1, R1/Z2 , S1 and S1/Z2. Only when the extra dimensions are R1 or/and R1/Z2 , can networks consisting solely of positive tension branes be constructed. Such configurations may find application in models with localized gravity and symmetry breaking by shining.