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math-phMar 30, 2020
authors
  • Francesco Spadaro
arXiv abstractPDF
paper

On the construction of discrete fermions in the FK-Ising model

arXiv:2003.13305

Abstract

We consider many-point correlation functions of discrete fermions in the two-dimensional FK-Ising model and show that, despite not being commuting observable, they can be realized with a geometric-probabilistic approach in terms of loops of the model and their winding.

References in corpus (13)

  • The Random-Cluster Model
  • Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales
  • Discretely Holomorphic Parafermions and Integrable Loop Models
  • SLE martingales and the Virasoro algebra
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  • The scaling limit of critical Ising interfaces is CLE(3)
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  • On conformal field theory of SLE(kappa; rho)
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  • On the critical parameters of the q≥4 random-cluster model on isoradial graphs
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