On Arnold's 14 `exceptional' N=2 superconformal gauge theories

Abstract

We study the four-dimensional superconformal N=2 gauge theories engineered by the Type IIB superstring on Arnold's 14 exceptional unimodal singularities (a.k.a. Arnold's strange duality list), thus extending the methods of 1006.3435 to singularities which are not the direct sum of minimal ones. In particular, we compute their BPS spectra in several `strongly coupled' chambers. From the TBA side, we construct ten new periodic Y-systems, providing additional evidence for the existence of a periodic Y-system for each isolated quasi-homogeneous singularity with $\hat{c}<2$ (more generally, for each N=2 superconformal theory with a finite BPS chamber whose chiral primaries have dimensions of the form N/l).

73 pages, 7 figures

References in corpus (11)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• The quantum dilogarithm and representations quantum cluster varieties
• R-Twisting and 4d/2d Correspondences
• BPS Wall Crossing and Topological Strings
• Classification of complete N=2 supersymmetric theories in 4 dimensions
• Deformed Calabi-Yau Completions
• The pentagon relation for the quantum dilogarithm and quantized M_{0,5}
• Extended canonical algebras and Fuchsian singularities
• Spectral analysis of finite dimensional algebras and singularities
• Quivers with potentials and their representations I: Mutations
• Mutations for quivers with potentials: Oberwolfach talk, April 2007

Cited by in corpus (41)

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• More on the N=2 superconformal systems of type $D_p(G)$
• Classification of Argyres-Douglas theories from M5 branes
• Infinitely many N=2 SCFT with ADE flavor symmetry
• BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
• IIB flux non-commutativity and the global structure of field theories
• Central charges and RG flow of strongly-coupled N=2 theory
• Higher Symmetries of 5d Orbifold SCFTs
• Universal Features of BPS Strings in Six-dimensional SCFTs
• 3d analogs of Argyres-Douglas theories and knot homologies
• Higher Form Symmetries of Argyres-Douglas Theories
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• RG flows with supersymmetry enhancement and geometric engineering
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• 4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case
• More Arnold's N = 2 superconformal gauge theories
• 4d N=2 SCFT and singularity theory Part I: Classification
• Line defects and (framed) BPS quivers
• Half--Hypers and Quivers
• Line defect Schur indices, Verlinde algebras and $U(1{)}_r$ fixed points
• The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8
• Kinetic Mixing at Strong Coupling
• Network, cluster coordinates and N = 2 theory II: Irregular singularity
• The quiver approach to the BPS spectrum of a 4d N=2 gauge theory
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• $q$-nonabelianization for line defects
• Confinement and duality in supersymmetric gauge theories
• Superconformal Index, BPS Monodromy and Chiral Algebras
• Homological S-Duality in 4d N=2 QFTs
• 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
• About the Absence of Exotics and the Coulomb Branch Formula
• Calabi-Yau completions and orbifold equivalences
• BPS spectra from BPS graphs
• Building maximal green sequences via component preserving mutations