Wick quantisation of a symplectic manifold

Details Wick quantisation of a symplectic manifold Wick quantisation of a symplectic manifold

2001-03-13

arxiv.org/abs/hep-th/0103091v1

Nucl.Phys.Proc.Suppl. 102 (2001) 144-149

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at the International Conference ``Supersymmetry and Quantum Field Theory'' (Kharkov, July 25-29, 2000), dedicated t

Scientific paper

10.1016/S0920-5632(01)01549-3

The notion of the Wick star-product is covariantly introduced for a general symplectic manifold equipped with two transverse polarisations. Along the lines of Fedosov method, the explicit procedure is given to construct the Wick symbols on the manifold. The cohomological obstruction is identified to the equivalence between the Wick star-product and the Fedosov one. In particular in the K\"ahler case, the Wick star-product is shown to be equivalent the Weyl one, iff the manifold is a Calabi-Yau one.

Affiliated with

Also associated with

No associations

Rating

Wick quantisation of a symplectic manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wick quantisation of a symplectic manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wick quantisation of a symplectic manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423888