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arXiv · 1101.5987

Branes, Quantization and Fuzzy Spheres

Christian Saemann·Richard J. Szabo
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Abstract

We propose generalized quantization axioms for Nambu-Poisson manifolds, which allow for a geometric interpretation of n-Lie algebras and their enveloping algebras. We illustrate these axioms by describing extensions of Berezin-Toeplitz quantization to produce various examples of quantum spaces of relevance to the dynamics of M-branes, such as fuzzy spheres in diverse dimensions. We briefly describe preliminary steps towards making the notion of quantized 2-plectic manifolds rigorous by extending the groupoid approach to quantization of symplectic manifolds.

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Christian Saemann, Richard J. Szabo. 2011-01-31. Branes, Quantization and Fuzzy Spheres. https://arxiv.org/abs/1101.5987

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