Investigation of Partition Function Transformation for the Potts Model into a Dichromatic Knot Polynomial 74
Kassenova T. Tsyba P. Razina O.
July 2024Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2024#16Issue 7
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 (Formula presented.) 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.
dichromatic polynomial , knot , planar graph , Potts model
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Department of Applied Mathematics and Physics, M.Kh. Dulaty Taraz Regional University, Taraz, 080000, Kazakhstan
Department of General and Theoretical Physics, L.N. Gumilyov, Eurasian National University, Astana, 010008, Kazakhstan
Department of Applied Mathematics and Physics
Department of General and Theoretical Physics
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