A refined Razumov-Stroganov conjecture: II

被引：0
|
作者：
Di Francesco, P [1 ]
机构：
[1] CNRS, Serv Phys Theor Saclay, CEA DSM SPhT, URA 2306, F-91191 Gif Sur Yvette, France
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2004年
关键词：
loop models and polymers;
D O I：
10.1088/1742-5468/2004/11/P11004
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We extend a previous conjecture (P Di Francesco 2004 J. Stat. Mech.: Theor. Exp. P08009) relating the Perron-Frobenius eigenvector of the monodromy matrix of the O(1) loop model to refined numbers of alternating sign matrices. By considering the O(1) loop model on a semi-infinite cylinder with dislocations, we obtain the generating function for alternating sign matrices with prescribed positions of 1s on their top and bottom rows. This seems to indicate a deep correspondence between observables in the two models.
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页数：20
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