Branes, quantization and fuzzy spheres

Research output: Contribution to journalArticle

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 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 Sep 201012 Sep 2010

Keywords

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

Fingerprint Dive into the research topics of 'Branes, quantization and fuzzy spheres'. Together they form a unique fingerprint.

  • Cite this