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The fuzzy Ka¨hler coset space by the Fedosov formalism

 

作者: Takahiro Masuda,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1902)
卷期: Volume 607, issue 1  

页码: 315-317

 

ISSN:0094-243X

 

年代: 1902

 

DOI:10.1063/1.1454391

 

出版商: AIP

 

数据来源: AIP

 

摘要:

We discuss deformation quantization of the Ka¨hler coset space by using the Fedosov formalism. Explicit calculations show that the Killing potentials of the Ka¨hler coset space satisfy the fuzzy algebrae. We also discuss the reduction of the ⋆ product to the Moyal product by taking appropriate Darboux coordinate, and the invariance by canonical and symplectic transformations. This respect of the ⋆ product is explained by studying the fuzzy algebrae of the Ka¨hler coset space. ©2002 American Institute of Physics.

 

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