|XXIX Workshop on Geometric Methods in Physics||27.06-03.07.2010|
Conformally equivariant quantization of supercotangent bundles
We develop the equivariant quantization, with respect to conformal transformations, for spin systems. In particular we prove the uniquenes of an equivariant symbol map, from spinor differential operators to functions on the supercotangent bundle. Strong link with conformally invariant operators is highlighted.