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Integrability of Limit Shapes of the Six Vertex Model

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 6-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.

preprint2015arXivOpen access
Nicolai ReshetikhinAnanth Sridhar
cond-mat.stat-mechmath-phmath.MPhep-th
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Nicolai ReshetikhinAnanth Sridhar

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