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PreprintarXiv licencearXiv

Conformal invariance of the planar four-state Potts model and its random-cluster representation

  • Emile Averous
  • Hugo Duminil-Copin
  • Tiancheng He
  • Piet Lammers
  • Ioan Manolescu
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Abstract

For the critical random-cluster model on ℤ2 with cluster-weight q=4, we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four-state Potts model is then deduced via the Edwards-Sokal coupling.

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Cite

BibTeXRIS
BibTeX
@misc{averous2026conformal,
  title = {{Conformal invariance of the planar four-state Potts model and its random-cluster representation}},
  author = {Emile Averous and Hugo Duminil-Copin and Tiancheng He and Piet Lammers and Ioan Manolescu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08507},
  eprint = {2610.08507},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08507},
}
RIS
TY  - UNPB
TI  - Conformal invariance of the planar four-state Potts model and its random-cluster representation
AU  - Emile Averous
AU  - Hugo Duminil-Copin
AU  - Tiancheng He
AU  - Piet Lammers
AU  - Ioan Manolescu
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08507
UR  - https://arxiv.org/abs/2610.08507
AB  - For the critical random-cluster model on ℤ^2 with cluster-weight q=4, we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four-state Potts model is then deduced via the Edwards-Sokal coupling.
ER  -