Remark: Family 225. Gaussian free field limits for the balanced six-vertex model

The balanced square-lattice six-vertex height field with $a=b=1$ and $0<c\le 2$ converges to a Gaussian free field, including at the endpoint $c=2$. The plane state is defined by balanced-torus limits. For unit height increments and Green kernel $-(2\pi {)}^{-1}\log |x-y|$, the exact variance multiplier is $1/\arcsin (c/2)$.

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.