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A refined Razumov-Stroganov conjecture II

P. Di Francesco
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Abstract

We extend a previous conjecture [cond-mat/0407477] 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 1's on their top and bottom rows. This seems to indicate a deep correspondence between observables in both models.

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P. Di Francesco. 2004-09-22. A refined Razumov-Stroganov conjecture II. https://doi.org/10.1088/1742-5468%2F2004%2F11%2Fp11004

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