Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 226-01. The curve scaling limit of half-plane double dimers
Manuscript map · lines 6665–6674
OpenAI@2026-10-07#rem:oai-p-226-01
Authors: OpenAI. Family 226.
Title: The curve scaling limit of half-plane double dimers.
Abstract: We prove that the complete double-dimer loop ensemble for the Temperleyan square lattice in the upper half-plane converges to nested CLE4. The convergence holds along the full mesh limit and matches every macroscopic loop as an unparametrized curve. This resolves the half-plane Temperleyan form of the double-dimer CLE4 scaling-limit conjecture.
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.
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