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Integrability as a consequence of discrete holomorphicity: the Z N model

Alam, Imam; Batchelor, Murray


It has recently been established that imposing the condition of discrete holomorphicity on a lattice parafermionic observable leads to the critical Boltzmann weights in a number of lattice models. Remarkably, the solutions of these linear equations also solve the Yang-Baxter equations. We extend this analysis for the ZN model by explicitly considering the condition of discrete holomorphicity on two and three adjacent rhombi. For two rhombi this leads to a quadratic equation in the Boltzmann...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/45/49/494014


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