Formal Deformation Quantization for Super Poisson Structures on Super Calabi-Yau Twistor Spaces

Abstract

It is known that Wolf constructed a lot of examples of Super Calabi-Yau twistor spaces. We would like to introduce super Poisson structures on them via super twistor double fibrations. Moreover we define the structure of deformation quantization for such super Poisson manifolds.

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