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.
| Original language | English |
|---|---|
| Number of pages | 18 |
| Journal | Proceedings of Science |
| Publication status | Published - 31 Jan 2011 |
| Event | Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity - Corfu, Greece Duration: 8 Sept 2010 → 12 Sept 2010 |
Keywords
- hep-th
- math-ph
- math.MP
- math.QA