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Paper detail

New differential equations in the six-vertex model

This letter is concerned with the analysis of the six-vertex model with domain-wall boundaries in terms of partial differential equations (PDEs). The model's partition function is shown to obey a system of PDEs resembling the celebrated Knizhnik-Zamolodchikov equation. The analysis of our PDEs naturally produces a family of novel determinant representations for the model's partition function.

preprint2015arXivOpen access
W. Galleas
math-phmath.MPnlin.SI
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