@inproceedings{140909ccd19c43b78a7775546897243b,

title = "Quantization of 2-plectic manifolds",

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.",

author = "Christian Saemann and {J. Szabo}, Richard",

note = "14 pages, based on talk given by CS at the fourth annual meeting of the European Noncommutative Geometry Research Training Network in Bucharest on 29 April 2011. To appear in the proceedings; 4th Annual Meeting of the European Non Commutative Geometry Network ; Conference date: 25-04-2011 Through 30-04-2011",

year = "2013",

language = "English",

isbn = "978-606-8443-01-0",

series = "International Book Series of Mathematical Texts",

publisher = "American Mathematical Society",

editor = "Popescu, {Ionel } and Purice, {Radu }",

booktitle = "Progress in Operator Algebras, Noncommutative Geometry, and their Applications",

address = "United States",

}