Comments on Non-invertible Symmetries in Argyres-Douglas Theories

Abstract

We demonstrate the presence of non-invertible symmetries in an infinite family of superconformal Argyres-Douglas theories. This class of theories arises from diagonal gauging of the flavor symmetry of a collection of multiple copies of $D_p(\mathrm{SU}(N))$ theories. The same set of theories that we study can also be realized from 6d $\mathcal{N}=(1,0)$ compactification on a torus. The main example in this class is the $(A_2,D_4)$ theory. We show in detail that this specific theory bears the same structures of non-invertible duality and triality defects as those of $\mathcal{N}=4$ super Yang-Mills with gauge algebra $\mathfrak{su}(2)$. We extend this result to infinitely many other Argyres-Douglas theories in the same family, including those with central charges $a=c$ whose conformal manifold is one dimensional, and those with $a\ne c$ whose conformal manifold has dimension larger than one. Our result is supported by examining certain special cases that can be realized in terms of theories of class $\mathcal{S}$.

arXiv commentv2: added references, JHEP accepted, v1: 29 pages + 1 appendix

References in corpus (76)

• Generalized Global Symmetries
• N=2 dualities
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Phase Transitions In M-Theory And F-Theory
• Coupling a QFT to a TQFT and Duality
• Reading between the lines of four-dimensional gauge theories
• New N=2 Superconformal Field Theories in Four Dimensions
• Topological Defect Lines and Renormalization Group Flows in Two Dimensions
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• TFT construction of RCFT correlators I: Partition functions
• Duality and defects in rational conformal field theory
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Generalised twisted partition functions
• On finite symmetries and their gauging in two dimensions
• Kramers-Wannier duality from conformal defects
• On gauging finite subgroups
• 6d Conformal Matter
• Kramers-Wannier-like duality defects in (3+1)d gauge theories
• Symmetries and Strings of Adjoint QCD${}_2$
• Superconformal Fixed Points with E_n Global Symmetry
• Higher Gauging and Non-invertible Condensation Defects
• Orbifold groupoids
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Non-Invertible Higher-Categorical Symmetries
• General Argyres-Douglas Theory
• Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• On the Defect Group of a 6D SCFT
• Defect lines, dualities, and generalised orbifolds
• Universal Non-Invertible Symmetries
• Asymptotic density of states in 2d CFTs with non-invertible symmetries
• Non-Invertible Symmetries from Holography and Branes
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification
• The Branes Behind Generalized Symmetry Operators
• Construction of two-dimensional topological field theories with non-invertible symmetries
• Non-invertible Time-reversal Symmetry
• Orbifold completion of defect bicategories
• Branes and Non-Invertible Symmetries
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• More on the N=2 superconformal systems of type $D_p(G)$
• Exploring Non-Invertible Symmetries in Free Theories
• On Continuous 2-Category Symmetries and Yang-Mills Theory
• Non-invertible Symmetries of Class $\mathcal{S}$ Theories
• Higher central charges and topological boundaries in 2+1-dimensional TQFTs
• Higher-form symmetries of 6d and 5d theories
• Loop Operators and the Kondo Problem
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory
• Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly
• Non-Invertible Defects in 5d, Boundaries and Holography
• Decomposition, condensation defects, and fusion
• Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• Continuous Generalized Symmetries in Three Dimensions
• Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Higher Form Symmetries of Argyres-Douglas Theories
• Higher Form Symmetries TFT in 6d
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Comments on scaling limits of 4d N=2 theories
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Argyres-Douglas Theories and S-Duality
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• RG flows with supersymmetry enhancement and geometric engineering
• $SL(2,\mathbb{Z})$ action on QFTs with ${\mathbb{Z}}_2$ symmetry and the Brown-Kervaire invariants
• Defect loops in gauged Wess-Zumino-Witten models
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Cobordism and Deformation Class of the Standard Model
• Non-Invertible Symmetries in Supergravity
• Argyres-Douglas Theories in Class S Without Irregularity
• Singular points in N=2 SQCD
• A fresh view on string orbifolds
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories

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