Algebraic entropy for hex systems

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 e...

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Bibliographic Details
Published inarXiv.org
Main Authors Gubbiotti, Giorgio, Kels, Andrew P, Claude-M Viallet
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.07.2024
Subjects
Algebra
Entropy
Lattices
Polytopes
Quadrilaterals
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Summary: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.
ISSN:2331-8422