Quantization of 2-plectic manifolds

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We describe an extension of the axioms of quantization to the case of 2-plectic manifolds. We show how such quantum spaces can be obtained as stable classical solutions in a zero-dimensional 3-algebra reduced model obtained by dimensional reduction of the Bagger-Lambert-Gustavsson theory. We demonstrate that the groupoid approach to geometric quantization proposed by Hawkins and others can be useful for quantizing 2-plectic manifolds. We discuss our results in the context of recent developments in the quantum geometry of M-branes, and in the nonassociative deformation of spacetime induced by closed strings in the presence of a 2-plectic form.
Original languageEnglish
Title of host publicationProgress in Operator Algebras, Noncommutative Geometry, and their Applications
EditorsIonel Popescu, Radu Purice
PublisherAmerican Mathematical Society
ISBN (Print)978-606-8443-01-0
Publication statusPublished - 2013
Event4th Annual Meeting of the European Non Commutative Geometry Network - Bucharest, Romania
Duration: 25 Apr 201130 Apr 2011

Publication series

NameInternational Book Series of Mathematical Texts

Conference

Conference4th Annual Meeting of the European Non Commutative Geometry Network
CountryRomania
CityBucharest
Period25/04/1130/04/11

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