Wick Type Symbol and Deformed Algebra of Exterior Forms
V. A. Dolgushev, S.L. Lyakhovich, A.A. Sharapov (Tomsk State Univ.)
TL;DR
This paper develops a covariant framework for Wick-type symbols on symplectic manifolds using Fedosov's method, introduces a superextended star-product, and discusses applications to noncommutative field theory.
Contribution
It presents a covariant construction of Wick-type symbols, a superextended star-product, and explores their geometric and physical applications.
Findings
Constructed covariant Wick-type symbols on symplectic manifolds.
Introduced a superextended Wick-type star-product.
Discussed potential applications to noncommutative field theory.
Abstract
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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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Topics in Algebra · Advanced Algebra and Geometry