Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

作者:Ikhlef Yacine*; Rajabpour Mohammad Ali
来源:Journal of Physics A-Mathematical and Theoretical, 2011, 44(4): 042001.
DOI:10.1088/1751-8113/44/4/042001

摘要

We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model onto 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.

  • 出版日期2011-1-28