围绕Razumov-Stroganov猜想：一个多参数求和规则的证明
Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
摘要：
我们证明了在2n长的周期带上具有周期边界条件的O（1）圈模型的适当归一化基态矢量的元素之和等于n × n交替符号矩阵的总数.这是通过在具有畴壁边界条件的n × n正方形网格上识别具有非齐次六顶点模型的配分函数的O（1）模型的多参数非齐次版本的状态和来完成的。
英文摘要：
We prove that the sum of entries of the suitably normalized groundstate vector of the O(1) loop model with periodic boundary conditions on a periodic strip of size 2n is equal to the total number of n x n alternating sign matrices. This is done by identifying the state sum of a multi-parameter inhomogeneous version of the O(1) model with the partition function of the inhomogeneous six-vertex model on a n x n square grid with domain wall boundary conditions.
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