Seiberg-Witten differential via primitive forms

Li, Si; Xie, Dan; Yau, Shing-Tung

doi:10.1007/s00220-019-03401-y

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Seiberg-Witten differential via primitive forms

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Li, Si
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00220-019-03401-y
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arXiv:1802.06751.pdf
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Li, S., Xie, D., & Yau, S.-T. (2019). Seiberg-Witten differential via primitive forms. Communications in Mathematical Physics, 367(1), 193-214. doi:10.1007/s00220-019-03401-y.

Cite as: https://hdl.handle.net/21.11116/0000-0004-F745-8

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.