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arXiv · 1510.08690

Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials

Boris Dubrovin·Ian A. B. Strachan·Youjin Zhang·Dafeng Zuo
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Abstract

For the root systems of type $B_l, C_l$ and $D_l$, we generalize the result of \cite{DZ1998} 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 \cite{DZ1998}. It also depends on certain additional data. We also construct LG superpotentials for these Frobenius manifold structures.

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Boris Dubrovin, Ian A. B. Strachan, Youjin Zhang, Dafeng Zuo. 2015-10-29. Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials. https://doi.org/10.1016/j.aim.2019.05.030

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