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On brane solutions in M(atrix) theory

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arxiv hep-th/9802187 v2 pith:EC7ARHCW submitted 1998-02-26 hep-th

classification hep-th
keywords solutionsatrixbraneformlimitsolutionsupersymmetrictheory
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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 ${\bf CP}^2 \times S^1$ 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.

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  1. Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

    hep-th 2026-08 conditional novelty 6.0 of 10

    A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

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