Branes, Quantization and Fuzzy Spheres

Details Branes, Quantization and Fuzzy Spheres Branes, Quantization and Fuzzy Spheres

2011-01-31

arxiv.org/abs/1101.5987v1

PoS CNCFG2010:005,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; Based on Review Talk at the Workshop on "Noncommutative Field Theory and Gravity", Corfu Summer Institute on Element

Scientific paper

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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