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

T.K. Kassenova, Pyotr Tsyba, Olga Razina

2024

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DOI 10.3390/sym16070842
Data confidence 85 high
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Abstract

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.