on-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
説明
<jats:p>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 equation can be factorized as a coupled system for a pair of functions $\bigl(\mathcal{F}^{(1)},\mathcal{F}^{(2)}\bigr)$, which is a consequence of the identification of the Hamiltonian as a translation element in the extended affine Weyl group. We conjecture that the instanton partition function coming from the affine Laumon space provides a solution to the coupled system.</jats:p>
収録刊行物
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- Symmetry, Integrability and Geometry: Methods and Applications
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Symmetry, Integrability and Geometry: Methods and Applications 2023-11-09
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
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詳細情報 詳細情報について
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- CRID
- 1360584341818197760
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- ISSN
- 18150659
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN