More Membrane Matrix Model Solutions - and Minimal Surfaces in S⁷

2003/12/05 by Joakim Arnlind, Arnlind, Joakim, Jens Hoppe +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.hep-th/0312062

6 pages

arxiv created 2003/12/07 · arxiv updated 2009/12/01

Abstract

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 S⁷, and their discrete analogues.

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