Moyal Quantization, Holography, and the Quantum Geometry of Surfaces

Details Moyal Quantization, Holography, and the Quantum Geometry of Surfaces Moyal Quantization, Holography, and the Quantum Geometry of Surfaces

1998-08-06

arxiv.org/abs/hep-th/9808033v1

Physics

High Energy Physics

High Energy Physics - Theory

PostScript, 15 pages

Scientific paper

An elementary introduction is provided to the phase space quantization method of Moyal and Wigner. We generalize the method so that it applies to 2-dimensional surfaces, where it has an interesting connection with quantum holography. In the case of Riemann surfaces the connection between Moyal quantization and holography provides new insights into the Torelli theorem and the quantization of non-linear integrable models. Quantum holography may also serve as a model for a quantum theory of membranes.

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