The Rotor Model and Combinatorics
Mathematical Physics
2009-11-07 v1 Statistical Mechanics
Combinatorics
math.MP
Abstract
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() model we find the number , which 3-enumerates vertically symmetric alternating sign matrices.
Cite
@article{arxiv.math-ph/0204002,
title = {The Rotor Model and Combinatorics},
author = {M. T. Batchelor and J. de Gier and B. Nienhuis},
journal= {arXiv preprint arXiv:math-ph/0204002},
year = {2009}
}
Comments
7 pages, Latex, WSPC macros, dedicated to Fred Wu's 70th birthday