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Geometric Coherent States, Membranes, and Star Products

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Quantization, Coherent States, and Complex Structures

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.

This work was supported in part by the International Science Foundation and the Russian Foundation for Fundamental Research.

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Authors and Affiliations

  1. Department of Applied Mathematics, Moscow Institute of Electronics & Mathematics, B. Vuzovsky per., 3/12, Moscow, 109028, Russia

    Mikhail Karasev

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  1. Mikhail Karasev
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Editor information

Editors and Affiliations

  1. Catholic University of Louvain, Louvain-la-Neuve, Belgium

    J.-P. Antoine

  2. Concordia University, Montréal, Québec, Canada

    S. Twareque Ali

  3. Warsaw University, Białystok, Poland

    W. Lisiecki  & A. Odzijewicz  & 

  4. Bulgarian Academy of Sciences, Sofia, Bulgaria

    I. M. Mladenov

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Karasev, M. (1995). Geometric Coherent States, Membranes, and Star Products. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization, Coherent States, and Complex Structures. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1060-8_20

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  • DOI: https://doi.org/10.1007/978-1-4899-1060-8_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1062-2

  • Online ISBN: 978-1-4899-1060-8

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