Remark: Family 223. Conformal limits of square-lattice random-cluster interfaces

Proves chordal ${\mathrm{SLE}}_{\kappa }$ limits for critical square-lattice random-cluster interfaces for $0<q\le 4$, with $\kappa =4\pi /\arccos (-\sqrt{q}/2)$: bounded Jordan domains are allowed for $q\ge 1$, and smooth Jordan domains for $q<1$, under the stated marked-boundary approximations. For $1\le q\le 4$, complete nested plane loops converge to ${\mathrm{CLE}}_{\kappa }$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.