More Arnold's N = 2 superconformal gauge theories

Abstract

We study the N = 2 gauge theories obtained by engineering the Type IIB superstring on the quasi-homogeneous elements of Arnold's list of bimodal singularities. All these theories have finite BPS chambers and we describe, along the lines of [arXiv:1107.5747], the algebraically obvious ones. Our results leads to the prediction of 11 new periodic Y-systems, providing additional evidence for the correspondence in between thermodinamical Bethe ansatz periodic Y-systems and N = 2 superconformal theories with a finite BPS chamber whose chiral primaries have dimensions of the form $\mathbb{N}/\ell$.

35 pages, v2: added remark about weak coupling, minor changes

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• Universal Features of BPS Strings in Six-dimensional SCFTs
• Higher Form Symmetries of Argyres-Douglas Theories
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Fine Tuning, Sequestering, and the Swampland
• 4d N=2 SCFT and singularity theory Part I: Classification
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• Network, cluster coordinates and N = 2 theory II: Irregular singularity
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• $q$-nonabelianization for line defects
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• Quivers, Line Defects and Framed BPS Invariants
• $Y$ systems, $Q$ systems, and 4D $\mathcal{N}=2$ supersymmetric QFT
• Building maximal green sequences via component preserving mutations