Razumov-Stroganov猜想的证明
Proof of the Razumov-Stroganov conjecture
摘要：
Razumov-Stroganov猜想将偶数长度稠密O（1）环模型中的基态系数与正方形上的完全填充环配置的枚举联系起来，交替边界条件，根据边界点的链接模式进行细化。在这里，我们证明这个猜想，通过纯粹的组合方法。主要成分是一个推广的维兰德证明技术的二面角对称性，这些类的基础上的“回转”操作，其全部力量，我们将调查在一个配套文件。
英文摘要：
The Razumov-Stroganov conjecture relates the ground-state coefficients in the even-length dense O(1) loop model to the enumeration of fully-packed loop configuration on the square, with alternating boundary conditions, refined according to the link pattern for the boundary points. Here we prove this conjecture, by mean of purely combinatorial methods. The main ingredient is a generalization of the Wieland proof technique for the dihedral symmetry of these classes, based on the `gyration' operation, whose full strength we will investigate in a companion paper.
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