Work

Functional relations in nineteen-vertex models with domain-wall boundaries

Year: 2019

Type: article

Abstract: This work is concerned with functional properties shared by partition functions of nineteen-vertex models with domain-wall boundary conditions. In particular, we describe both Izergin-Korepin and Fateev-Zamolodchikov models with the aforementioned boundary conditions and show that their partition functions are governed by a system of functional equations originating from the associated Yang-Baxter algebra.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.5095588

Authors: A. Bossart, W. Galleas

Institutions: ETH Zurich, Institute for Theoretical Physics, École Polytechnique Fédérale de Lausanne

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, FP7 Ideas: European Research Council

Award: Extended Symmetries in Gauge and Gravity Theories