LATTICE REALIZATIONS OF UNITARY MINIMAL MODULAR INVARIANT PARTITION-FUNCTIONS

The conformal spectra of the critical dilute A-D-E lattice models are studied numerically. The results strongly indicate that, in branches one and two, these models provide realizations of the complete A-D-E classification of unitary minimal modular invariant partition functions given by Cappelli, Itzykson and Zuber. In branches three and four the results indicate that the modular invariant partition functions factorize. Similar factorization results are also obtained for two-colour lattice models.