- Author
- Year
- 2017
- Title
- Integrability of Limit Shapes of the Six Vertex Model
- Journal
- Communications in Mathematical Physics
- Volume | Issue number
- 356 | 2
- Pages (from-to)
- 535–565
- Document type
- Article
- Faculty
- Faculty of Science (FNWI)
- Institute
- Korteweg-de Vries Institute for Mathematics (KdVI)
- 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.
- URL
- go to publisher's site
- Language
- English
- Persistent Identifier
- https://hdl.handle.net/11245.1/c3a06fba-9e74-4df9-bc28-faa546855592
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