Quantization of 2-Plectic Manifolds

Details Quantization of 2-Plectic Manifolds Quantization of 2-Plectic Manifolds

2011-06-09

arxiv.org/abs/1106.1890v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, based on talk given by CS at the fourth annual meeting of the European Noncommutative Geometry Research Training Net

Scientific paper

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.

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