Li, Si; Xie, Dan; Yau, Shing-Tung Seiberg-Witten differential via primitive forms. (English) Zbl 1412.81166 Commun. Math. Phys. 367, No. 1, 193-214 (2019). Summary: Three-fold quasi-homogeneous isolated rational singularity is argued to define a four dimensional \({\mathcal{N}=2}\) SCFT. The Seiberg-Witten geometry is built on the mini-versal deformation of the singularity. We argue in this paper that the corresponding Seiberg-Witten differential is given by the Gelfand-Leray form of K. Saito’s primitive form. Our result also extends the Seiberg-Witten solution to include irrelevant deformations. Cited in 1 Document MSC: 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 81T60 Supersymmetric field theories in quantum mechanics 14B07 Deformations of singularities 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli PDFBibTeX XMLCite \textit{S. Li} et al., Commun. Math. 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