Inverse spectral problem for GK integrable system
Inverse spectral problem for GK integrable system
复制标题
GK可积系统的反谱问题
DOI：
10.1007/jhep10(2014)027
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
V. Fock
中科院分区：
文献类型：
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作者：
V. Fock
a . goncharov和R.Kenyon在平面上由牛顿多边形构造的簇变上定义了一类可积系统。在本文中，我们证明了在无限维空间不变量中关于两个交换算子的完备标志集合的组态空间是重合的。我们用这个解释给出了这些可积系统的函数的显式解。
A.Goncharov and R.Kenyon has defined a class of integrable system on a cluster varieties constructed out of a Newton polygon on the plane. In the present note we show that thiest cluster varieties coincides with the configuration spaces of collections of complete flags in an infinite dimensional space invariant with respect to two commuting operators. We use this interpretation to give explicit solution for these integrable systems in terms of theta-functions.