Wick Type Symbol and Deformed Algebra of Exterior Forms

Physics – High Energy Physics – High Energy Physics - Theory

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Talk given at the International Conference "Quantization, Gauge Theory and Strings" dedicated to the memory of Professor E.S.

Scientific paper

The covariant descripion is constructed for the Wick-type symbols on
symplectic manifolds by means of the Fedosov procedure. The geometry of the
manifolds admitting this symbol is explored. The superextended version of the
Wick-type star-product is introduced and a possible application of the
construction to the noncommutative field theory is discussed.

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