Algebraic integrable dynamical systems, 2+1-dimensional models in wholly discrete space-time, and inhomogeneous models in 2-dimensional statistical physics

1995/06/30 by I. G. Korepanov, Korepanov, I. G. · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.solv-int/9506003

openalex publication_date 1995/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to constructing and studying exactly solvable dynamical systems in discrete time obtained from some algebraic operations on matrices, to reductions of such systems leading to classical field theory models in 2+1-dimensional wholly discrete space-time, and to connection between those field theories and inhomogoneous models in 2-dimensional statistical physics.

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• On integrability of a q-oscillator lattice with a B-boundary
• Eigenvector and eigenvalue problem for 3D bosonic model
• Integrability in 3+1 Dimensions: Relaxing a Tetrahedron Relation
• Solutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric

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