Lattice realizations of unitary minimal modular invariant partition functions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, Latex, with minor corrections and clarifications

Scientific paper

10.1088/0305-4470/28/17/020

The conformal spectra of the critical dilute A-D-E lattice models are studied numerically. The results strongly indicate that, in branches 1 and 2, 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 3 and 4 the results indicate that the modular invariant partition functions factorize. Similar factorization results are also obtained for two-colour lattice models.

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