More Membrane Matrix Model Solutions - and Minimal Surfaces in S^7

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arxiv hep-th/0312062 v2 pith:MGMEZUIQ submitted 2003-12-05 hep-th math-phmath.MP

Joakim Arnlind , Jens Hoppe This is my paper · ORCID

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keywords minimalsolutionssurfacesanaloguesbosonicclassicalconstructioncontinuum

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New solutions to the classical equations of motion of a bosonic matrix-membrane are given. Their continuum limit defines 3-manifolds (in Minkowski space) whose mean curvature vanishes. Part of the construction are minimal surfaces in S^7, and their discrete analogues.

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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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