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Discrete holomorphic parafermions in the Ashkin-Teller model and SLE

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 44, Issue: 4
2011
  • 14
    Citations
  • 0
    Usage
  • 6
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    14
    • Citation Indexes
      14
  • Captures
    6

Article Description

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, ρ, ρ), where ρ varies along the critical line. © 2011 IOP Publishing Ltd.

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