Quivers with Additive Labelings: Classification and Algebraic Entropy
Quivers with Additive Labelings: Classification and Algebraic Entropy
复制标题
带有附加标签的箭袋：分类和代数熵
作者：
Pavel Galashin;P. Pylyavskyy
我们证明了Zamolodchikov动力学的经常性有零代数熵，只有当有一个弱次可加的标签，并推测匡威。通过分配一对广义Cartan矩阵的仿射型的每一个加性标签，我们完全分类这样的箭图，获得$40$无限家庭和$13$例外箭图。这就完成了Zamolodchikov周期箭图和可积箭图的分类程序。
We show that Zamolodchikov dynamics of a recurrent quiver has zero algebraic entropy only if the quiver has a weakly subadditive labeling, and conjecture the converse. By assigning a pair of generalized Cartan matrices of affine type to each quiver with an additive labeling, we completely classify such quivers, obtaining $40$ infinite families and $13$ exceptional quivers. This completes the program of classifying Zamolodchikov periodic and integrable quivers.
带有亚加性标签的箭袋：分类和可积分性
影响因子：
0.8
作者：
Galashin, Pavel
Pylyavskyy
通讯作者：
Galashin, Pavel
Pylyavskyy