Work

Triangular solutions to the reflection equation for U q ( s l n ^ )

Year: 2024

Type: article

Abstract: We study solutions of the reflection equation related to the quantum affine algebra U q ( s l n ^ ) . First, we explain how to construct a family of stochastic integrable vertex models with fixed boundary conditions. Then, we construct upper- and lower-triangular solutions of the reflection equation related to symmetric tensor representations of U q ( s l n ^ ) with arbitrary spin. We also prove the star–star relation for the Boltzmann weights of the Ising-type model, conjectured by Bazhanov and Sergeev, and use it to verify certain properties of the solutions obtained.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad4d2f

Authors: Dmitry Kolyaskin, Vladimir V Mangazeev

Institution: Australian National University

Language: Latvian

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

OpenAlex ID: W4391709595

FWCI:

Cites: 36

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Related to: 10