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 with a world volume geometry of the form C P 2 × S1 in some detail and show how a smooth manifold structur...

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Bibliographic Details
Published in:Nuclear physics. B 1998-11, Vol.533 (1), p.333-347
Main Authors: Nair, V.P., Randjbar-Daemi, S.
Format: Article
Language:English
Subjects:
BPS
Branes
Large N limit
M(atrix) theory
Poisson brackets
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Summary: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 C P 2 × S1 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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(98)00485-4