Argyres-Douglas Theories in Class S Without Irregularity

Abstract

We make a preliminary investigation into twisted $A_{2n}$ theories of class S. Contrary to a common piece of folklore, we establish that theories of this type realise a variety of models of Argyres-Douglas type while utilising only regular punctures. We present an in-depth analysis of all twisted $A_2$ trinion theories, analyse their interrelations via partial Higgsing, and discuss some of their generalised S-dualities.

arXiv comment37 pages

References in corpus (56)

• N=2 dualities
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Infinite Chiral Symmetry in Four Dimensions
• New N=2 Superconformal Field Theories in Four Dimensions
• Some Comments On String Dynamics
• Gauge Theories and Macdonald Polynomials
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• Webs of five-branes and N=2 superconformal field theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• S-duality and 2d Topological QFT
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Bootstrapping the superconformal index with surface defects
• General Argyres-Douglas Theory
• Tinkertoys for Gaiotto Duality
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Central charges of N=2 superconformal field theories in four dimensions
• Vertex operator algebras, Higgs branches, and modular differential equations
• On the Superconformal Index of Argyres-Douglas Theories
• Tinkertoys for the D_N series
• Chiral algebras of class S
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• More on the N=2 superconformal systems of type $D_p(G)$
• On S-duality of 5d super Yang-Mills on S^1
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Tinkertoys for the Twisted D-Series
• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• Classification of Argyres-Douglas theories from M5 branes
• Exceptional Indices
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• On the 6d origin of discrete additional data of 4d gauge theories
• Infinitely many N=2 SCFT with ADE flavor symmetry
• N=2 supersymmetric dynamics for pedestrians
• Chiral algebra of Argyres-Douglas theory from M5 brane
• Chiral Algebras for Trinion Theories
• VOAs labelled by complex reflection groups and 4d SCFTs
• Hilbert Series for Moduli Spaces of Two Instantons
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• The Superconformal Index of Class S Theories of Type D
• A review of the T_N theory and its cousins
• Counting Exceptional Instantons
• Argyres-Douglas Theories and S-Duality
• Macdonald Index and Chiral Algebra
• N=2 S-duality Revisited
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• Free Field Realizations from the Higgs Branch
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• SCFT/VOA correspondence via $\Omega$-deformation
• N=2 S-duality via Outer-automorphism Twists
• Schur correlation functions on $S^3\times S^1$
• Chiral algebras from Ω-deformation
• Tinkertoys for the E7 Theory
• Chiral Algebras, Localization and Surface Defects
• Flavor symmetries and unitarity bounds in $\mathcal{N}=2$ SCFTs
• VOAs and rank-two instanton SCFTs
• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• Closed form fermionic expressions for the Macdonald index

Cited by in corpus (11)

• 2-Group Symmetries in Class S
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Higgs, Coulomb, and Hall-Littlewood
• Schur Indices of Class $\mathcal{S}$ and Quasimodular Forms
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Emergent N=4 supersymmetry from N=1
• Lectures on chiral algebras of $\mathcal{N}⩾2$ superconformal field theories
• A landscape of 4d N=1 SCFTs with a=c