6 papers · 1 filter
Intertwining vectors, and Boltzmann weight matrices, of a Solid-on-Solid model from the 20-vertex model
Pete Rigas
We initiate a new study on the correspondence between the 20-vertex model and a SOS (Solid-on-Solid) model. In comparison to two previous works of the author in 2024 which characte…
Poisson structure of the 4-vertex model, and the higher-spin XXX chain, and Yang-Baxter algebras
Pete Rigas
We implement the quantum inverse scattering method for the 4-vertex model. In comparison to previous works of the author which examined the 6-vertex, and 20-vertex, models, the 4-v…
The emptiness formation probability, and representations for nonlocal correlation functions, of the 20-vertex model
Pete Rigas
We study the emptiness formation probability, along with various representations for nonlocal correlation functions, of the 20-vertex model. In doing so, we leverage previous argum…
Quantum inverse scattering for the 20-vertex model up to Dynkin automorphism: 3D Poisson structure, triangular height functions, weak integrability
Pete Rigas
We initiate a novel application of the quantum inverse scattering method for the 20-vertex model, building upon seminal work from Faddeev and Takhtajan on the study of Hamiltonian…
Poisson structure and Integrability of a Hamiltonian flow for the inhomogeneous six-vertex model
Pete Rigas
We compute the action-angle variables for a Hamiltonian flow of the inhomogeneous six-vertex model, from a formulation introduced in a 2022 work due to Keating, Reshetikhin, and Sr…
Eigenvectors of Toeplitz matrices from Fisher-Hartwig symbols with greater than, or equal to, one singularity
Pete Rigas
Asymptotically, we analytically derive the form of eigenvectors for two Fisher-Hartwig symbols besides those which were previously investigated in a work due to Movassagh an…