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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
Full text not available from this repository.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 |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | LETTERS IN MATHEMATICAL PHYSICS |
| Publisher: | KLUWER ACADEMIC PUBL |
| ISSN: | 0377-9017 |
| Date: | October 2003 |
| Volume: | 66 |
| Number: | 1-2 |
| Number of Pages: | 17 |
| Page Range: | pp. 123-139 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8718 |
Data sourced from Thomson Reuters' Web of Knowledge
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