Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau-Ginzburg superpotentials
Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau-Ginzburg superpotentials
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BCD 型的扩展仿射 Weyl 群：它们的 Frobenius 流形和 Landau-Ginzburg 超势
DOI：
10.1016/j.aim.2019.05.030
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发表时间：
2019
影响因子：
1.7
通讯作者：
Zuo Dafeng
中科院分区：
文献类型：
--
作者：
Dubrovin Boris;Strachan Ian A B;Zhang Youjin;Zuo Dafeng
对于B 1，C 1和D 1型根系，我们推广了文[7]的结果，证明了在对应于Dynkin图的任意顶点的扩张仿射Weyl群的轨道空间上存在Frobenius流形结构，而不是文[7]中的特定选择.它还取决于某些附加数据。我们还构造了这些Frobenius流形结构的Landau-Ginzburg超势。
For the root systems of type B l, C l and D l, we generalize the result of [7] by showing the existence of Frobenius manifold structures on the orbit spaces of the extended affine Weyl groups that correspond to any vertex of the Dynkin diagram instead of a particular choice made in [7]. It also depends on certain additional data. We also construct Landau–Ginzburg superpotentials for these Frobenius manifold structures.