Bibliographic Details
| Title: |
Investigation of Partition Function Transformation for the Potts Model into a Dichromatic Knot Polynomial 7 4. |
| Authors: |
Kassenova, Tolkyn1 (AUTHOR) tkkasenova@gmail.com, Tsyba, Pyotr2 (AUTHOR) olvikraz@mail.ru, Razina, Olga2 (AUTHOR) |
| Source: |
Symmetry (20738994). Jul2024, Vol. 16 Issue 7, p842. 8p. |
| Subject Terms: |
*POTTS model, *QUANTUM groups, *PLANAR graphs, *OPERATOR algebras, *PARTITION functions |
| 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 7 4 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. [ABSTRACT FROM AUTHOR] |
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