Work

Yang-Baxter solutions from commuting operators

Year: 2024

Type: preprint

Abstract: We construct $R$-matrices (with a multidimensional spectral parameter) that include additive as well as non-additive parameters. They satisfy the colored Yang-Baxter equation. The solutions depend on a set of commuting operators. They change with the representation of the latter. The associated Yang-Baxter algebra and the spectrum of the transfer matrix are also studied.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2401.05662

Authors: Padmanabhan, Pramod, Hao, Kun, Korepin, Vladimir

Institutions: Indian Institute of Technology Bhubaneswar, Northwest University, Stony Brook University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, National Natural Science Foundation of China, Office of Science, Natural Science Basic Research Program of Shaanxi Province

Awards: G2012042336, G241279073, G357145406, G4709396392, G5150380157, G5765906131, G5958906545, G7463374569, G7654887179, G7799904205

OpenAlex ID: W4390833224

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