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The Rotor model and combinatorics

Batchelor, Murray; de Gier, J; Nienhuis, B


We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O(n = 1) model we find the number AV(2m + 1;3), which 3-enumerates vertically symmetric alternating sign matrices.

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: International Journal of Modern Physics B


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