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Kähler polarisation and Wick Quantisation of Hamiltonian systems subject to second class constraints

S. L. Lyakhovich, A. A. Sharapov

hep-tharXiv:hep-th/0110138

Abstract

The necessary and sufficient conditions are established for the second-class constraint surface to be (an almost) Kähler manifold. The deformation quantisation for such systems is scetched resulting in the Wick-type symbols for the respective Dirac brackets.

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