Overlapping branes in M-theory

We construct new supersymmetric solutions of D = Ii supergravity describing n orthogonally ''overlapping'' membranes and fivebranes for n = 2,...,8, Overlapping branes arise after separating intersecting branes in a direction transverse to all of the branes. The solutions, which generalize known intersecting brane solutions, preserve at least 2(-n) of the supersymmetry. Each pairwise overlap involves a membrane overlapping a membrane in a O-brane, a fivebrane overlapping a fivebrane in a 3-brane or a membrane overlapping a fivebrane in a string. After reducing n overlapping membranes to obtain n overlapping D-2-branes in D = IO, T-duality generates new overlapping D-brane solutions in type IIA and type IIB string theory, Uplifting certain type IIA solutions leads to the D = Ii solutions, Some of the new solutions reduce to dilaton black holes in D = 4. Additionally, we present a D = IO solution that describes two D-5-branes overlapping in a string, T-duality then generates further D = 10 solutions and uplifting one of the type IIA solutions gives a new D = 11 solution describing two fivebranes overlapping in a string.