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The
genus-zero five-vertex model
Richard Kenyon and István Prause |
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Vol. 3 (2022), No. 4, 707–729
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Abstract |
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We study the free energy and limit shape problem for the five-vertex model with periodic “genus zero” weights. We derive the exact phase diagram, free energy and surface tension for this model. We show that its surface tension has trivial potential and use this to give explicit parametrizations of limit shapes. |
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Keywords
square ice model, vertex model, Bethe Ansatz
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Mathematical Subject Classification
Primary: 82B20
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Milestones
Received: 11 January 2021
Revised: 9 February 2022
Accepted: 21 February 2022
Published: 21 February 2023
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Authors |
| Richard Kenyon | |
| Mathematics Department Yale University New Haven, CT United States |
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| István Prause | |
| Department of Physics and
Mathematics University of Eastern Finland Yliopistokatu Joensuu Finland |
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