Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation

We show the relation of the non-stationary difference equation proposed by one of the authors and the quantized discrete Painlevé VI equation. The five-dimensional Seiberg-Witten curve associated with the difference equation has a consistent four-dimensional limit. We also show that the original equ...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Awata, Hidetoshi, Hasegawa, Koji, Kanno, Hiroaki, Ohkawa, Ryo, Shakirov, Shamil, Shiraishi, Jun'ichi, Yamada, Yasuhiko
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212042
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation. Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno, Ryo Ohkawa, Shamil Shakirov, Jun'ichi Shiraishi and Yasuhiko Yamada. SIGMA 19 (2023), 089, 47 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine