2018/09/11 by A. Melikyan, G. Weber
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Algorithm #Anisotropy #Applied mathematics #Black Holes and Theoretical Physics #Combinatorics #Coupling constant #Factorization #Graph #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Philosophy #Physics #Property (philosophy) #Pure mathematics #Quantum mechanics #Statistical physics #Theoretical physics #Vertex (graph theory) #Vertex model #hep-th #nlin.SI
paper · pdf · doi:10.1016/j.nuclphysb.2018.12.011
arxiv created 2018/09/11 · openalex publication_date 2018/12/12 · arxiv updated 2018/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider several anisotropic extensions of the Belavin model, and show that integrability holds also for the massive case for some specific relations between the coupling constants. This is done by relating the S-matrix factorization property to the exceptional solutions of the eight-vertex model. The relation of exceptional solutions to the XXZ and six-vertex models is also shown.