Algebraic entropy for hex systems
Exactly Solvable and Integrable Systems
2025-05-01 v2
Abstract
Hex systems were recently introduced [A. P. Kels. Integrable systems on hexagonal lattices and consistency on polytopes with quadrilateral and hexagonal faces. 2022. arXiv:2205.02720 [math-ph]] as systems of equations defined on two-dimensional honeycomb lattices. We give a definition of algebraic entropy for such systems and use it to check the integrability of specific examples.
Cite
@article{arxiv.2311.01359,
title = {Algebraic entropy for hex systems},
author = {Giorgio Gubbiotti and Andrew P. Kels and Claude-M. Viallet},
journal= {arXiv preprint arXiv:2311.01359},
year = {2025}
}
Comments
25 pages, 7 figures, 10 tables, corrected typos, added and updated references