Email this article Integrable 3D Statistical Models on Six-Valent Graphs
- Authors: Korepanov I.G.1, Talalaev D.V.2,3, Sharygin G.I.2,3
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Affiliations:
- Moscow Aviation Institute (National Research University)
- Faculty of Mechanics and Mathematics
- Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre “Kurchatov Institute,”
- Issue: Vol 302, No 1 (2018)
- Pages: 198-216
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175638
- DOI: https://doi.org/10.1134/S008154381806010X
- ID: 175638
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Abstract
The paper is devoted to the study of a special statistical model on graphs with vertices of degrees 6 and 1. We show that this model is invariant with respect to certain Roseman moves if one regards the graph as the singular point set of the diagram of a 2-knot. Our approach is based on the properties of the tetrahedron cohomology complex.
About the authors
I. G. Korepanov
Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: paloff@ya.ru
Russian Federation, Volokolamskoe sh. 4, Moscow, 125993
D. V. Talalaev
Faculty of Mechanics and Mathematics; Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre “Kurchatov Institute,”
Email: paloff@ya.ru
Russian Federation, Moscow, 119991; Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117218
G. I. Sharygin
Faculty of Mechanics and Mathematics; Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre “Kurchatov Institute,”
Email: paloff@ya.ru
Russian Federation, Moscow, 119991; Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117218
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