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Seiberg-Witten differential via primitive forms

High Energy Physics - Theory 2020-04-10 v1 Mathematical Physics Algebraic Geometry math.MP

Abstract

Three-fold quasi-homogeneous isolated rational singularity is argued to define a four dimensional N=2\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.

Cite

@article{arxiv.1802.06751,
  title  = {Seiberg-Witten differential via primitive forms},
  author = {Si Li and Dan Xie and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:1802.06751},
  year   = {2020}
}

Comments

24 pages

R2 v1 2026-06-23T00:26:41.333Z