On Deformation Quantization using Super Twistorial Double Fibration

Yuji Hirota, Naoya Miyazaki, Tadashi Taniguchi

Research output: Chapter in Book/Report/Conference proceedingChapter


We study deformation quantization for a complex supermanifold. Taking up a super twistor space whose body is a Calabi–Yau manifold concretely, we construct a double fibration and demonstrate that a certain super Calabi–Yau twistor space is deformation quantizable via the double fibration.

Original languageEnglish
Title of host publicationTrends in Mathematics
Number of pages8
Publication statusPublished - 2019

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X


  • Calabi–Yau manifold
  • Deformation quantization
  • complex supermanifold
  • twistor theory

ASJC Scopus subject areas

  • Mathematics(all)


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