# Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model

@article{Bazhanov2021SomeAA,
title={Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model},
author={Vladimir V Bazhanov and Gleb A. Kotousov and Sergii M. Koval and Sergei L. Lukyanov},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2021},
volume={17},
pages={025}
}
• Published 20 October 2020
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
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 ${\rm U}(1)$ invariance. In this paper we discuss the restrictions imposed on the parameters for which additional global symmetries arise that are consistent with the integrable…
8 Citations

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## References

SHOWING 1-10 OF 48 REFERENCES
Solvable eight-vertex model on an arbitrary planar lattice
• R. Baxter
• Physics
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
• 1978
Any planar set of intersecting straight lines forms a four-coordinated graph, or ‘lattice’, provided no three lines intersect at a point. For any such lattice an eight-vertex model can be
Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• Mathematics
• 1997
Abstract:This paper is a direct continuation of [1] where we began the study of the integrable structures in Conformal Field Theory. We show here how to construct the operators \${\bf
Non-Linear Integral Equations for the SL(2,R)/U(1) black hole sigma model
• Physics
• 2013
It was previously established that the critical staggered XXZ spin chain provides a lattice regularization of the black hole CFT. We reconsider the continuum limit of this spin chain with the exact