Lattice realizations of unitary minimal modular invariant partition functions

Abstract

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.

18 pages, Latex, with minor corrections and clarifications

References in corpus (2)

• Order Parameters of the Dilute A Models
• Solvable lattice models labelled by Dynkin diagrams

Cited by in corpus (10)

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• Fusion of Dilute $A_L$ Lattice Models
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• Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties
• On Discrete Symmetries in su(2) and su(3) Affine Theories and Related Graphs
• Yang-Baxter algebras based on the two-colour BWM algebra
• Surface operator content of the A_L face models
• Boundary CFT and tensor network approach to surface critical phenomena of the tricritical 3-state Potts model
• A universal amplitude ratio for the q<4 Potts model from a solvable lattice model