On brane solutions in M(atrix) theory

Abstract

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 with a world volume geometry of the form ${\mathbf{CP}}^2\times S^1$ 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 membrane solutions is also given.

Plain TeX, 18pages, material in sections 2 and 5 rearranged to clarify interpretation

Cited by in corpus (28)

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• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
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• Fuzzy Torus and q-Deformed Lie Algebra
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