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28 March 2024
 
  » arxiv » math-ph/0204002

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The Rotor Model and Combinatorics
M.T. Batchelor ; J. de Gier ; B. Nienhuis ;
Date 2 Apr 2002
Journal Int. J. Mod. Phys. B 16 (2002) 1883-1890
Subject Mathematical Physics; Combinatorics; Statistical Mechanics MSC-class: 82B23; 05A15 | math-ph cond-mat.stat-mech math.CO math.MP
AffiliationANU), J. de Gier (ANU) and B. Nienhuis (Amsterdam
AbstractWe 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 $A_{ m V}(2m+1;3)$, which 3-enumerates vertically symmetric alternating sign matrices.
Source arXiv, math-ph/0204002
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