Physics – Mathematical Physics
Scientific paper
2002-04-02
Int. J. Mod. Phys. B 16 (2002) 1883-1890
Physics
Mathematical Physics
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.
Batchelor Murray T.
de Gier Jan
Nienhuis Bernard
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