On brane solutions in M(atrix) theory

In this paper we consider brane solutions of the form $G/H$ in M(atrix) theory, showing the emergence of world-volume coordinates for the cases where $G=SU(n)$. We examine a particular solution of the form $CP^2 \times S^1$ in some detail and show how a smooth manifold structure emerges in the large N limit. In this limit the solution becomes static; it is not supersymmetric but is part of a supersymmetric set of configurations. Supersymmetry in small locally flat regions can be obtained, but this is not globally defined. A general group theoretic analysis of the previously known spherical brane solutions is also given.