Branes, quantization and fuzzy spheres

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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 languageEnglish
Number of pages18
JournalProceedings of Science
Publication statusPublished - 31 Jan 2011
EventCorfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity - Corfu, Greece
Duration: 8 Sept 201012 Sept 2010


  • hep-th
  • math-ph
  • math.MP
  • math.QA


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