Seiberg-Witten differential via primitive forms

Abstract

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.

arXiv comment24 pages

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• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories