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.
More Membrane Matrix Model Solutions - and Minimal Surfaces in S^7
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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 S^7, and their discrete analogues.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond
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.