Quantization of 2-Plectic Manifolds

Christian Saemann; Richard J. Szabo

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arXiv · 1106.1890

Quantization of 2-Plectic Manifolds

Christian Saemann·Richard J. Szabo

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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.

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Christian Saemann, Richard J. Szabo. 2011-06-09. Quantization of 2-Plectic Manifolds. https://arxiv.org/abs/1106.1890

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