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We obtain the most general static intersecting brane solutions by directly solving the relevant equations of motion analytically and in complete generality. These solutions reduce to the known ones in special cases, and contain further a class of new static solutions which are horizonless. We describe their properties and discuss their physical relevance. Along the way, we also describe the features of the brane energy momentum tensors, the equations of motion, and their solutions which arise as consequences of the intersection rules and the U duality symmetries of M theory.

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