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arXiv · 2505.13806

Colored Vertex Models and Interacting Reverse Plane Partitions

Jonah Guse·David Jiang·David Keating
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Abstract

We study the coupling of pairs of reverse plane partitions of the same shape by assigning a certain local interaction between the reverse plane partitions. We show that they are in bijection with a certain Yang-Baxter integrable colored vertex model. By utilizing the Yang-Baxter equation for this colored vertex model, we are able to compute the generating function for the interacting pairs of reverse plane partitions. We also give a bijection between the coupled pairs of reverse plane partitions with the interaction strength set to zero and a single reverse plane partition of the same shape.

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Jonah Guse, David Jiang, David Keating. 2025-05-20. Colored Vertex Models and Interacting Reverse Plane Partitions. https://arxiv.org/abs/2505.13806

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