Local State Probabilities of Solvable Lattice Models: Relatives of $A_n^{(1)}$ Family

Abstract

We 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 $SO(3{)}_{4R}=SU(2{)}_{4R}/Z_2$ together with primary field ${\varphi }_1$(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 figure