Landscape of 4d $\mathcal{N}=1$ SCFTs with $a=c$

Journal Article · 31 March 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.086002 · OSTI ID:2545128

Kang, Monica Jinwoo ; Lawrie, Craig ; Lee, Ki-Hong; Song, Jaewon

We study a landscape of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with identical central charges. These theories are obtained by renormalization group flows triggered by supersymmetry-preserving superpotential deformations of the $\mathcal{N}=1$ gauging of the flavor symmetry of a collection of $\mathcal{N}=2$ ${\mathcal{D}}_p\left(G\right)$ Argyres-Douglas SCFTs. In this work, we focus on the fixed points in the landscape of the $SU\left(3\right)$ gauging of three copies of the ${\mathcal{D}}_2\left(SU\right(3\left)\right)=H_2$ theory together with an adjoint-valued chiral multiplet. We catalog the network of $a=c$ fixed points, and, along the way, we find a variety of dualities and instances of supersymmetry enhancement. Published by the American Physical Society 2025

• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0013528; SC0020360
• OSTI ID: 2545128
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 8 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English