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On Deformation Quantization using Super Twistorial Double Fibration

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Part of the book series: Trends in Mathematics ((TM))

Abstract

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.

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Correspondence to Yuji Hirota .

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Hirota, Y., Miyazaki, N., Taniguchi, T. (2019). On Deformation Quantization using Super Twistorial Double Fibration. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVII. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-34072-8_10

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