A new representation for the partition function of the six vertex model with domain wall boundaries

preprint2010arXivOpen access

Abstract

We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is given in terms of a sum over the permutation group where the partial homogeneous limit can be taken trivially. We also show by construction that this partition function satisfies a linear partial differential equation.

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