Investigation of Partition Function Transformation for the Potts Model into a Dichromatic Knot Polynomial 74

Autor:	Tolkyn Kassenova, Pyotr Tsyba, Olga Razina
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	dichromatic polynomial planar graph Potts model knot Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 7, p 842 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16070842
Popis:	This article examines quantum group symmetry using the Potts model. The transformation of the Potts model into a polynomial knot state on Kaufman square brackets is analyzed. It is shown how a dichromatic polynomial for a planar graph can be obtained using Temperley–Lieb operator algebra. The proposed work provides insight into the 74 knot-partition function of Takara Musubi using a strain factor that represents the particles in the lattice knots of the above-mentioned model. As far as theoretical physics is concerned, this statement provides a correct explanation of the connection between the Potts model and the similar square lattice of knot and link invariants.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8647783c083e41daa5cafcfb340b8014 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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