Integrability of Limit Shapes of the Six Vertex Model
| Authors |
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| Publication date |
2017
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| Journal |
Communications in Mathematical Physics
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| Volume | Issue number |
356 | 2
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| Pages (from-to) |
535–565
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
The main result of this paper is the construction of infinitely many conserved quantities (corresponding to commuting transfer-matrices) for the limit shape equation for the six vertex model on a cylinder. This suggests that the limit shape equation is an integrable PDE with gradient constraints. At the free fermionic point this equation becomes the complex Burgers equation.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1007/s00220-017-2983-x
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