Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Date
2021
Authors
Bazhanov, Vladimir
Kotousov, Gleb A.
Koval, Sergii
Lukyanov, Sergei L
Journal Title
Journal ISSN
Volume Title
Publisher
National Academy of Sciences of Ukraine
Abstract
The inhomogeneous six-vertex model is a 2D multiparametric integrable statistical system. In the scaling limit it is expected to cover different classes of critical behaviour which, for the most part, have remained unexplored. For general values of the parameters and twisted boundary conditions the model possesses U(1) invariance. In this paper we discuss the restrictions imposed on the parameters for which additional global symmetries arise that are consistent with the integrable structure. These include the lattice counterparts of C, P and T as well as translational invariance. The special properties of the lattice system that possesses an additional Z invariance are considered. We also describe the Hermitian structures, which are consistent with the integrable one. The analysis lays the groundwork for studying the scaling limit of the inhomogeneous six-vertex model.
Description
Keywords
solvable lattice models, Bethe ansatz, Yang–Baxter equation, discrete symmetries, Hermitian structures
Citation
Collections
Source
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Type
Journal article
Book Title
Entity type
Access Statement
Free Access via publisher website
License Rights
Restricted until
2099-12-31
Downloads
File
Description