Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation

We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov (-KZ) equation for ᵥ(⁽¹⁾₁) with generic spins. Namely, we can tune mass parameters so that the Hamiltonian acts on the space of finite Laurent polynomials. Then the repre...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
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 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212343
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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 II: Quantum Knizhnik-Zamolodchikov Equation. Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno, Ryo Ohkawa, Shamil Shakirov, Jun'ichi Shiraishi and Yasuhiko Yamada. SIGMA 20 (2024), 077, 55 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine