Three Natural Generalizations of Fedosov Quantization

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Authors	BERING LARSEN Klaus
Year of publication	2009
Type	Article in Periodical
Magazine / Source	SIGMA
MU Faculty or unit	Faculty of Science
Citation
web	http://arxiv.org/abs/0803.4201
Doi	https://doi.org/10.3842/SIGMA.2009.036
Field	Theoretical physics
Keywords	Deformation Quantization; Fedosov Quantization; Star Product; Supermanifolds; Symplectic Geometry.
Description	Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.
Related projects:	Mathematical structures and their physical applications