Formal Deformation Quantization for Super Poisson Structures on Super Calabi-Yau Twistor Spaces
Tadashi Taniguchi, Naoya Miyazaki, Yuji Hirota
TL;DR
This paper introduces super Poisson structures on Super Calabi-Yau twistor spaces using super twistor double fibrations and develops a deformation quantization framework for these super Poisson manifolds.
Contribution
It is the first to define super Poisson structures on Super Calabi-Yau twistor spaces and establish their deformation quantization.
Findings
Construction of super Poisson structures on super twistor spaces
Definition of deformation quantization for super Poisson manifolds
Extension of known geometric structures to super Calabi-Yau contexts
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Ophthalmology and Eye Disorders