Explicit formulas for noncommutative deformations of CP[sup N] and CH[sup N]

Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu
  • Journal of Mathematical Physics, January 2012, American Institute of Physics
  • DOI: 10.1063/1.4731236

Explicit formulas for noncommutativedeformation of CP^N and CH^N

What is it about?

We give explicit expressions of a deformation quantization with separation of variables for CPN and CHN . 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 formulas in all order in the noncommutative parameter. We also give the Fock representations of the noncommutative CPN and CHN .

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