English

On the Berezin Description of Kahler Quotients

High Energy Physics - Theory 2007-05-23 v2

Abstract

We survey geometric quantization of finite dimensional affine Kahler manifolds. Its corresponding prequantization and the Berezin's deformation quantization formulation, as proposed by Cahen et al., is used to quantize their corresponding Kahler quotients. Equivariant formalism greatly facilitates the description.

Keywords

Cite

@article{arxiv.hep-th/0202015,
  title  = {On the Berezin Description of Kahler Quotients},
  author = {Iliana Carrillo-Ibarra and Hugo Garcia-Compean},
  journal= {arXiv preprint arXiv:hep-th/0202015},
  year   = {2007}
}

Comments

10 pages, latex file, no figures, minor clarifications and misprints corrected, contribution to the Proceedings of the First Mexican Meeting on Mathematical and Experimental Physics, Mexico City