Integrability of Limit Shapes of the Six Vertex Model

被引：12
作者：
Reshetikhin, Nicolai [1 ,2 ,3 ]
Sridhar, Ananth [4 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Univ Amsterdam, KdV Inst Math, NL-1098 XH Amsterdam, Netherlands
[3] St Petersburg State Univ, St Petersburg 197101, Russia
[4] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 356卷 / 02期
基金：
美国国家科学基金会;
关键词：
DIMERS;
D O I：
10.1007/s00220-017-2983-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：535 / 565
页数：31
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