Elliptic pfaffians and solvable lattice models
@article{Rosengren2016EllipticPA, title={Elliptic pfaffians and solvable lattice models}, author={Hjalmar Rosengren}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2016}, volume={2016} }
We introduce and study twelve multivariable theta functions defined by pfaffians with elliptic function entries. We show that, when the crossing parameter is a cubic root of unity, the domain wall partition function for the eight-vertex-solid-on-solid model can be written as a sum of two of these pfaffians. As a limit case, we express the domain wall partition function for the three-colour model as a sum of two Hankel determinants. We also show that certain solutions of the TQ-equation for the…
8 Citations
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