Explicit Formulae for Noncommutative Deformations of CP^N and CH^N

Details Explicit Formulae for Noncommutative Deformations of CP^N and CH^N Explicit Formulae for Noncommutative Deformations of CP^N and CH^N

2012-04-18

arxiv.org/abs/1204.4030v1

Physics

Mathematical Physics

21 pages

Scientific paper

We give explicit expressions of the deformation quantization with separation of variables for CP^N and CH^N. This quantization method is one of the ways to perform a deformation quantization of Kahler manifolds, which is introduced by Karabegov. Star products are obtained as explicit formulae in all order in the noncommutative parameter. We also give the Fock representations of the noncommutative CP^N and CH^N.

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