Mathematics – Combinatorics
Scientific paper
2001-04-24
Theor.Math.Phys. 138 (2004) 333-337; Teor.Mat.Fiz. 138 (2004) 395-400
Mathematics
Combinatorics
5 pages, LaTeX2e, DFPL is changed to FPL in accordance with a suggestion of J. Propp
Scientific paper
Hanging about a hypothetical connections between the ground state vector for some special spin systems and the alternating-sign matrices, we have found a numerical evidence for the fact that the numbers of the states of the fully packed loop model with fixed link-patterns coincide with the components of the ground state vector of the dense O$(1)$ loop model considered by Batchelor, de Gier and Nienhuis. Our conjecture generalizes in a sense the conjecture of Bosley and Fidkowski, refined by Cohn and Propp, and proved by Wieland.
Razumov Alexander V.
Stroganov Yu. G.
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