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Research Report MRR96-057

Critical behaviour of the dilute O(n), Izergin-Korepin and dilute AL face models: Bulk properties

Y.K. Zhou and M. T. Batchelor

Abstract: The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the square periodic lattice. The resulting bulk conformal weights extend previous exact results obtained in the honeycomb limit and include the negative spectral parameter regimes. The results give the operator content of the 19-vertex Izergin-Korepin model along with the conformal weights of the dilute AL face models in all four regimes.

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