Moyal Quantization, Holography, and the Quantum Geometry of Surfaces

@article{citeulike:2295091, abstract = {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.}, author = {Chapline, G. and Granik, A. }, citeulike-article-id = {2295091}, eprint = {hep-th/9808033}, journal = {ArXiv High Energy Physics - Theory e-prints}, keywords = {geometries, holography, quantum-geometry, quantum-holography, surfaces}, month = {August}, posted-at = {2008-01-27 16:31:42}, priority = {2}, title = {Moyal Quantization, Holography, and the Quantum Geometry of Surfaces}, url = {http://arxiv.org/abs/hep-th/9808033}, year = {1998} }

TY - JOUR ID - citeulike:2295091 L3 - citeulike-article-id:2295091 TI - Moyal Quantization, Holography, and the Quantum Geometry of Surfaces JF - ArXiv High Energy Physics - Theory e-prints N2 - 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. KW - geometries KW - holography KW - quantum-geometry KW - quantum-holography KW - surfaces AU - Chapline, G AU - Granik, A PY - 1998/August// UR - http://arxiv.org/abs/hep-th/9808033 ER -