Colored Vertex Models and Interacting Reverse Plane Partitions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915293563977728 |
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| author | Guse, Jonah Jiang, David Keating, David |
| author_facet | Guse, Jonah Jiang, David Keating, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Colored Vertex Models and Interacting Reverse Plane Partitions Guse, Jonah Jiang, David Keating, David Combinatorics Mathematical Physics 05A15 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. |
| title | Colored Vertex Models and Interacting Reverse Plane Partitions |
| topic | Combinatorics Mathematical Physics 05A15 |
| url | https://arxiv.org/abs/2505.13806 |