Classification of Argyres-Douglas theories from M5 branes

Abstract

We obtain a large class of new 4d Argyres-Douglas theories by classifying irregular punctures for the 6d (2,0) superconformal theory of ADE type on a sphere. Along the way, we identify the connection between the Hitchin system and three-fold singularity descriptions of the same Argyres-Douglas theory. Other constructions such as taking degeneration limits of the irregular puncture, adding an extra regular puncture, and introducing outer-automorphism twists are also discussed. Later we investigate various features of these theories including their Coulomb branch spectrum and central charges.

35 pages, 9 tables, 6 figures. v2: minor corrections

References in corpus (20)

• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• R-Twisting and 4d/2d Correspondences
• Mirrors of 3d Sicilian theories
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Witten Index and Wall Crossing
• The $\mathcal{N}=2$ superconformal bootstrap
• On the Superconformal Index of Argyres-Douglas Theories
• The gravity duals of N=2 superconformal field theories
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Argyres-Douglas Theories and S-Duality
• An Index Formula for Supersymmetric Quantum Mechanics
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• Gauge Theory And Wild Ramification
• Interpolating the Coulomb Phase of Little String Theory
• Network, Cluster coordinates and N=2 theory I
• Network, cluster coordinates and N = 2 theory II: Irregular singularity
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Preservation of depth in local geometric Langlands correspondence
• A rigid irregular connection on the projective line

Cited by in corpus (62)

• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
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• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Higher Form Symmetries of Argyres-Douglas Theories
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• New aspects of Argyres--Douglas theories and their dimensional reduction
• On Irregular Singularity Wave Functions and Superconformal Indices
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Macdonald Index and Chiral Algebra
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• Holographic Duals of Argyres-Douglas Theories
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Defect $a$-Theorem and $a$-Maximization
• A slow review of the AGT correspondence
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• 4d N=2 SCFT and singularity theory Part I: Classification
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• Holographic duals of M5-branes on an irregularly punctured sphere
• Rationalizing CFTs and Anyonic Imprints on Higgs Branches
• Schur sector of Argyres-Douglas theory and $W$-algebra
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Argyres-Douglas Theories in Class S Without Irregularity
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• Line defect Schur indices, Verlinde algebras and $U(1{)}_r$ fixed points
• Higgs, Coulomb, and Hall-Littlewood
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Argyres-Douglas matter and N=2 dualities
• Infrared enhancement of supersymmetry in four dimensions
• Aspects of Irregular Punctures via Holography
• Classification of large N superconformal gauge theories with a dense spectrum
• Flowing from 16 to 32 Supercharges
• 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold singularities
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Infinitely many 4d N=1 SCFTs with a=c
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• Testing Macdonald Index as a Refined Character of Chiral Algebra
• Unitary matrix models and random partitions: Universality and multi-criticality
• The (2,0) Superalgebra, Null M-branes and Hitchin's System
• 3d SUSY enhancement and non-semisimple TQFTs from four dimensions
• Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
• An infrared bootstrap of the Schur index with surface defects
• No go for a flow
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• On low rank 4d $\mathcal{N}=2$ SCFTs
• The Geometry of SUSY Enhancement
• A Family of Vertex Algebras from Argyres-Douglas Theory
• 1-form Symmetries of 4d N=2 Class S Theories
• TBA equations and quantum periods for D-type Argyres-Douglas theories
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Generalized symmetry constraints on deformed 4d (S)CFTs
• Supersymmetric zeta functions and determinants
• Perturbative Unitarity Calls for An Action
• A landscape of 4d N=1 SCFTs with a=c
• On holographic duals of certain isolated weighted Gorenstein cDV singularities
• Macdonald Index From Refined Kontsevich-Soibelman Operator