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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Vladimir V. Bazhanova, Gleb A. Kotousovb, Sergii M. Kovala, Sergei L. Lukyanovcd a Department of Theoretical Physics, Research School of Physics,
Australian National University, Canberra, ACT 2601, Australia
b DESY, Theory Group, Notkestrasse 85, Hamburg, 22607, Germany
c NHETC, Department of Physics and Astronomy, Rutgers University,
Piscataway, NJ 08855-0849, USA
d Kharkevich Institute for Information Transmission Problems, Moscow, 127994, Russia
Аннотация:
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 $\mathrm{U}(1)$ 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 ${\mathcal C}$, ${\mathcal P}$ and ${\mathcal T}$ as well as translational invariance. The special properties of the lattice system that possesses an additional ${\mathcal Z}_r$ 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.
Ключевые слова:
solvable lattice models, Bethe ansatz, Yang–Baxter equation, discrete symmetries, Hermitian structures.
Поступила: 30 октября 2020 г.; в окончательном варианте 26 февраля 2021 г.; опубликована 16 марта 2021 г.
Образец цитирования:
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval, Sergei L. Lukyanov, “Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model”, SIGMA, 17 (2021), 025, 29 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1708 https://www.mathnet.ru/rus/sigma/v17/p25
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