• Corpus ID: 119586471

# Remarks on $A^{(1)}_n$ face weights

@article{Kuniba2017RemarksO,
title={Remarks on \$A^\{(1)\}\_n\$ face weights},
author={Atsuo Kuniba},
journal={arXiv: Mathematical Physics},
year={2017}
}
• A. Kuniba
• Published 8 November 2017
• Mathematics
• arXiv: Mathematical Physics
An elementary proof is given for the elliptic and trigonometric Boltzmann weights of the $A^{(1)}_n$ face model about their factorization at a special point of the spectral parameter and the sum-to-1 property. They generalize analogous results in the corresponding vertex model obtained recently.
• Mathematics
Annales Henri Poincaré
• 2019
In this paper, we introduce a procedure that, given a solution to the Yang–Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version of) the Yang–Baxter
• Mathematics
Annales Henri Poincaré
• 2019
In this paper, we introduce a procedure that, given a solution to the Yang–Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version of) the Yang–Baxter

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A recent paper (Kuniba in Nucl Phys B 913:248–277, 2016) introduced the stochastic $${\mathcal{U}_q(A_n^{(1)})}$$Uq(An(1)) vertex model. The stochastic S-matrix is related to the R-matrix of the
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AbstractThe eight-vertex model is equivalent to a “solid-on-solid” (SOS) model, in which an integer heightli is associated with each sitei of the square lattice. The Boltzmann weights of the model
We introduce stochastic Interaction-Round-a-Face (IRF) models that are related to representations of the elliptic quantum group $E_{\tau,\eta}(sl_2)$. For stochasic IRF models in a quadrant, we
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