Geometric Coherent States, Membranes, and Star Products

Mikhail Karasev
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Mikhail Karasev: Moscow Institute of Electronics & Mathematics, Department of Applied Mathematics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 185-199 from Springer

Abstract: Abstract An exact star product on symplectic-Kähler manifolds is constructed via quadrangle and hexagon membrane amplitudes. Coherent states and realization of the Dirac axioms over lagrangian submanifolds are described by triangle and pentagon membrane amplitudes. Relations between the star-product quantization and Dirac-type quantization are found.

Keywords: Coherent State; Star Product; Lagrangian Submanifolds; Hilbert Algebra; Holonomy Function (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_20

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DOI: 10.1007/978-1-4899-1060-8_20

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