On the Symmetry of the Partition Function of Some Square Ice Models
نویسنده
چکیده
We consider the partition function Z(N ;x1, . . . , xN , y1, . . . , yN ) of the square ice model with domain wall boundary. We give a simple proof of the symmetry of Z with respect to all its variables when the global parameter a of the model is set to the special value a = exp(iπ/3). Our proof does not use any determinantal interpretation of Z and can be adapted to other situations (for examples to some symmetric ice models).
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تاریخ انتشار 2009