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.