Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

Y. Ikhlef; M. A. Rajabpour

doi:10.1088/1751-8113/44/4/042001

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arXiv · 1009.3374

Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

Y. Ikhlef·M. A. Rajabpour

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Abstract

We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model to the $O(n=1)$ model. We give support to the conjecture that the curve created by the insertion of parafermionic operators at two points on the boundary is $SLE(4,\rho,\rho)$, where $\rho$ varies along the critical line.

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Y. Ikhlef, M. A. Rajabpour. 2010-09-17. Discrete holomorphic parafermions in the Ashkin-Teller model and SLE. https://doi.org/10.1088/1751-8113/44/4/042001

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