Integrability as a consequence of discrete holomorphicity: the Z N model
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Description
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]
Collections | ANU Research Publications |
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Date published: | 2012 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/70338 |
Source: | Journal of Physics A: Mathematical and Theoretical |
DOI: | 10.1088/1751-8113/45/49/494014 |
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01_Alam_Integrability_as_a_consequence_2012.pdf | 320.62 kB | Adobe PDF | Request a copy | |
02_Alam_Integrability_as_a_consequence_2012.pdf | 288.36 kB | Adobe PDF | Request a copy |
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