Abstract
The free energy and local height probabilities of the dilute A models with borken ℤ2 symmetry are calculated analytically using inversion and corner transfer matrix methods. These models possess four critical branches. The first two branches provide new realizations of the unitary minimal series and the other two branches give a direct product of this series with an Ising model. We identify the integrable perturbations which move the dilute A models away from the critical limit. Generalized order parameters are defined and their critical exponents extracted. The associated conformal weights are found to occur on the diagonal of the relevant Kac table. In an appropriate regime the dilute A3 model lies in the universality class of the Ising model in a magnetic field. In this case we obtain the magnetic exponent δ=15 directly, without the use of scaling relations.
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Warnaar, S.O., Pearce, P.A., Seaton, K.A. et al. Order parameters of the dilute A models. J Stat Phys 74, 469–531 (1994). https://doi.org/10.1007/BF02188569
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DOI: https://doi.org/10.1007/BF02188569