Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

Details Discrete holomorphic parafermions in the Ashkin-Teller model and SLE Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

2010-09-17

arxiv.org/abs/1009.3374v2

J. Phys. A: Math. Theor. 44 (2011) 042001

Physics

Condensed Matter

Statistical Mechanics

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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