2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54873We present the results for the local state probabilities (LSP) of the solvable lattice models, constructed around rational conformal field theory given by WZW model on $SO(3)_{4 R}=SU(2)_{4 R} / Z_{2}$ together with primary field $ϕ_{1}$(symmetric tensor of degree 2). Some conjectures for the LSP for some higher rank relatives of $A_{n}^{(1)}$ face models are also presented.13 pages, Latex , 1 figureHigh Energy Physics - TheoryLocal State Probabilities of Solvable Lattice Models: Relatives of $A_{n}^{(1)}$ Familytext