热带R和Tau函数
Tropical R and Tau Functions
摘要：
Tropical R是一个满足杨-巴克斯特方程的双有理映射，它将几何晶体的乘积缠绕在一起。证明了作者引入的D^{（1）} n热带R及其约化为A^{（2）} 2n-1}和C^{（1）} n等价于一个Hirota型双线性差分方程组.相关的热带顶点模型承认的BKP和DKP层次的tau函数的解决方案。
英文摘要：
Tropical R is the birational map that intertwines products of geometric crystals and satisfies the Yang-Baxter equation. We show that the D^{(1)}_n tropical R introduced by the authors and its reduction to A^{(2)}_{2n-1} and C^{(1)}_n are equivalent to a system of bilinear difference equations of Hirota type. Associated tropical vertex models admit solutions in terms of tau functions of the BKP and DKP hierarchies.
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