2.Using the Property of Roots of Unity: Sinceαis an imaginary fifth root of unity, we know: 1+α+α2+α3+α4=0 This implies: 1+α+α2+α3=−α4 3.Substituting into the Expression: We substitute1+α+α2+α3into our original expression: ...
We consider quantum transition amplitudes, partition functions and observables for 3D spin foam models within SU(2) quantum group deformation symmetry, where the deformation parameter is postulated to be a complex fifth root of unity. By considering fermionic cycles through the foam, we couple this...