Phase Space Reduction for Star-Products: An Explicit Construction for CP^n release_h24uzbmaxvfstbyb4kvvtk7kxi

by M. Bordemann, M. Brischle, C. Emmrich, S. Waldmann

Released as a report .

1995  

Abstract

We derive a closed formula for a star-product on complex projective space and on the domain SU(n+1)/S(U(1)× U(n)) using a completely elementary construction: Starting from the standard star-product of Wick type on C^n+1∖{ 0 } and performing a quantum analogue of Marsden-Weinstein reduction, we can give an easy algebraic description of this star-product. Moreover, going over to a modified star-product on C^n+1∖{ 0 }, obtained by an equivalence transformation, this description can be even further simplified, allowing the explicit computation of a closed formula for the star-product on ^n which can easily transferred to the domain SU(n+1)/S(U(1)× U(n)).
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Type  report
Stage   submitted
Date   1995-03-09
Version   v1
Language   en ?
Number  FR-THEP-95/6
arXiv  q-alg/9503004v1
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