General Argyres-Douglas Theory

Abstract

We construct a large class of Argyres-Douglas type theories by compactifying six dimensional (2,0) A_N theory on a Riemann surface with irregular singularities. We give a complete classification for the choices of Riemann surface and the singularities. The Seiberg-Witten curve and scaling dimensions of the operator spectrum are worked out. Three dimensional mirror theory and the central charges a and c are also calculated for some subsets, etc. Our results greatly enlarge the landscape of N=2 superconformal field theory and in fact also include previous theories constructed using regular singularity on the sphere.

55 pages, 20 figures, minor revision and typos corrected

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Cited by in corpus (135)

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• On the Superconformal Index of Argyres-Douglas Theories
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• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
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• Infrared Computations of Defect Schur Indices
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• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
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• Vertex operator algebras of Argyres-Douglas theories from M5-branes
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• Chiral algebra of Argyres-Douglas theory from M5 brane
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• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
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• Conformal Manifolds in Four Dimensions and Chiral Algebras
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• N=1 dynamics with T_N theory
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• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
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• Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II: special Kahler stratification of the Coulomb branch
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• New Directions in Bipartite Field Theories
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• BPS Graphs: From Spectral Networks to BPS Quivers
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• ODE/IM correspondence and the Argyres-Douglas theory
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• Punctures for Theories of Class ${\mathcal{S}}_{\Gamma }$
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• Rationalizing CFTs and Anyonic Imprints on Higgs Branches
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• On the chiral algebra of Argyres-Douglas theories and S-duality
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• Trisecting non-Lagrangian theories
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• A Family of Vertex Algebras from Argyres-Douglas Theory
• The Geometry of SUSY Enhancement
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• A landscape of 4d N=1 SCFTs with a=c
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