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On the Red-Green-Blue Model

David B. Wilson
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Abstract

We experimentally study the red-green-blue model, which is a sytem of loops obtained by superimposing three dimer coverings on offset hexagonal lattices. We find that when the boundary conditions are ``flat'', the red-green-blue loops are closely related to SLE_4 and double-dimer loops, which are the loops formed by superimposing two dimer coverings of the cartesian lattice. But we also find that the red-green-blue loops are more tightly nested than the double-dimer loops. We also investigate the 2D minimum spanning tree, and find that it is not conformally invariant.

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David B. Wilson. 2002-12-03. On the Red-Green-Blue Model. https://doi.org/10.1103/physreve.69.037105

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