The Rotor Model and Combinatorics

Physics – Mathematical Physics

Scientific paper

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7 pages, Latex, WSPC macros, dedicated to Fred Wu's 70th birthday

Scientific paper

10.1142/S0217979202011597

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 $A_{\rm V}(2m+1;3)$, which 3-enumerates
vertically symmetric alternating sign matrices.

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