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- W4311554410 abstract "Given an arbitrary choice of two sets of nonzero Boltzmann weights for $n$-color lattice models, we provide explicit algebraic conditions on these Boltzmann weights which guarantee a solution (i.e., a third set of weights) to the Yang-Baxter equation. Furthermore we provide an explicit one-dimensional parametrization of all solutions in this case. These $n$-color lattice models are so named because their admissible vertices have adjacent edges labeled by one of $n$ colors with additional restrictions. The two-colored case specializes to the six-vertex model, in which case our results recover the familiar quadric condition of Baxter for solvability. The general $n$-color case includes important solutions to the Yang-Baxter equation like the evaluation modules for the quantum affine Lie algebra $U_q(hat{mathfrak{sl}}_n)$. Finally, we demonstrate the invariance of this class of solutions under natural transformations, including those associated with Drinfeld twisting." @default.
- W4311554410 created "2022-12-27" @default.
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- W4311554410 date "2022-12-13" @default.
- W4311554410 modified "2023-10-16" @default.
- W4311554410 title "Solving the n-color ice model" @default.
- W4311554410 doi "https://doi.org/10.48550/arxiv.2212.06404" @default.
- W4311554410 hasPublicationYear "2022" @default.
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