论文标题
非平稳差异方程和仿射劳蒙空间：离散painlevé方程的量化
Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
论文作者
论文摘要
我们显示了一位作者提出的非平稳差方程和量化的离散painlevéVI方程的关系。与差异方程相关的五维Seiberg-witten曲线具有一致的四维极限。 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.我们猜想来自仿射Laumon空间的Instanton分区函数为耦合系统提供了解决方案。
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.
