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arXiv · 2104.05389

Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end

Linnea Hietala
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Abstract

The trigonometric six-vertex model with domain wall boundary conditions and one partially reflecting end on a lattice of size $2n\times m$, $m\leq n$, is considered. The partition function is computed using the Izergin-Korepin method, generalizing the result of Foda and Zarembo from the rational to the trigonometric case. Thereafter we specify the parameters in Kuperberg's way to get a formula for the number of states as a determinant of Wilson polynomials. We relate this to a type of ASM-like matrices.

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Linnea Hietala. 2021-04-12. Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end. https://doi.org/10.1007/s11005-022-01530-5

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