September 28, 2025Open Access

On algebraic structures underlying the rational Kashiwara-Miwa-type models

Key Points

The kashiwara-miwa model represents an ising-type model, linking algebraic structures to statistical physics principles.
Two-spin edge weights are defined using q-products, with arbitrary integer spins and |q|<1, enhancing model versatility.
Exploration of the relationship between the model and q-oscillator algebra reveals significant algebraic properties.
Understanding these underlying structures may enhance insights into integrability and statistical mechanics.

Abstract

The rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric R-matrix. Two-spin edge weights of the model are expressed in the terms of q-products, its spins are arbitrary integers, and |q|<1. We discuss in this paper the algebraic structures underlying the model, in particular its relation to the q-oscillator algebra, to representations of the q-oscillator algebra and to the co-product of the q-oscillator algebra.

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Cite This Study

Sergey Sergeev (Mon,) studied this question.

synapsesocial.com/papers/68d913a34ddcf71ba560b8c7 https://doi.org/https://doi.org/10.48550/arxiv.2508.12537

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