Remark: 225-01. The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)

Authors: OpenAI. Family 225.

Title: The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2).

Abstract: We prove that the height function of the square-lattice six-vertex model with weights $a=b=1$ and $0{}lt c{}le2$, in the plane state obtained from balanced tori, converges to a multiple of the Gaussian free field. For unit height jumps and Green kernel $-(2{}pi){}{-1}{}log|x-y|$, the squared multiplier is $1/{}arcsin(c/2)$.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.