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A-D hypersurface of $s u (n)$ $𝒩 = 2$ supersymmetric gauge theory with $N_{f} = 2 n - 2$ flavors

Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University (formerly Osaka City University), 3-3-138, Sugimoto, Sumiyoshi-Ku, Osaka 558-8585, Japan

E-mail Address: itoyama@omu.ac.jp

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T. Oota

Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University (formerly Osaka City University), 3-3-138, Sugimoto, Sumiyoshi-Ku, Osaka 558-8585, Japan

E-mail Address: toota@omu.ac.jp

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, and

R. Yoshioka

https://orcid.org/0000-0001-6224-771X

Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP), Osaka Metropolitan University (formerly Osaka City University), 3-3-138, Sugimoto, Sumiyoshi-Ku, Osaka 558-8585, Japan

E-mail Address: ryoshioka@omu.ac.jp

Corresponding author.

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https://doi.org/10.1142/S0217751X23500173Cited by:2 (Source: Crossref)

Abstract

In the previous paper, arXiv:2210.16738[hep-th], we found a set of flavor mass relations as constraints such that the $β$ -deformed $A_{n - 1}$ quiver matrix model restores the maximal symmetry in the massive scaling limit and reported the existence of Argyres–Douglas critical hypersurface. In this paper, we derive the concrete conditions on moduli parameters which maximally degenerates the Seiberg–Witten curve while maintaining the flavor mass relations. These conditions define the A-D hypersurface.

Keywords:

PACS: 11.15.−q, 11.25.Hf, 02.10.Yn

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