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Natural star products on symplectic manifolds and quantum moment maps
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UNSPECIFIED (2003) Natural star products on symplectic manifolds and quantum moment maps. LETTERS IN MATHEMATICAL PHYSICS, 66 (1-2). pp. 123-139. ISSN 0377-9017.
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Abstract
We define a natural class of star products: those which are given by a series of bidifferential operators which at order k in the deformation parameter have at most k derivatives in each argument. This class includes all the standard constructions of differential star products. We show that any such star product on a symplectic manifold defines a unique symplectic connection. We parametrise such star products, study their invariance properties and give necessary and sufficient conditions for them to have a quantum moment map. We show that Kravchenko's sufficient condition for a moment map for a Fedosov star product is also necessary.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | LETTERS IN MATHEMATICAL PHYSICS | ||||
Publisher: | KLUWER ACADEMIC PUBL | ||||
ISSN: | 0377-9017 | ||||
Official Date: | October 2003 | ||||
Dates: |
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Volume: | 66 | ||||
Number: | 1-2 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 123-139 | ||||
Publication Status: | Published |
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