Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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13 pages, 12 figures

Scientific paper

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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