A tale of 2-groups: D${}_p$(USp(2N)) theories

Abstract

A 1-form symmetry and a 0-form symmetry may combine to form an extension known as the 2-group symmetry. We find the presence of the latter in a class of Argyres-Douglas theories, called $D_p($USp$(2N))$, which can be realized by ${\mathbb{Z}}_2$-twisted compactification of the 6d $\mathcal{N}=(2,0)$ of the $D$-type on a sphere with an irregular twisted puncture and a regular twisted full puncture. We propose the $3$d mirror theories of general $D_p($USp$(2N))$ theories that serve as an important tool to study their flavor symmetry and Higgs branch. Yet another important result is presented: We elucidate a technique, dubbed ''bootstrap'', which generates an infinite family of $D_p^b(G)$ theories, where for a given arbitrary group $G$ and a parameter $b$, each theory in the same family has the same number of mass parameters, same number of marginal deformations, same $1$-form symmetry, and same $2$-group structure. This technique is utilized to establish the presence or absence of the 2-group symmetries in several classes of $D_p^b(G)$ theories. In this regard, we find that the $D_p($USp$(2N))$ theories constitute a special class of Argyres-Douglas theories that have a 2-group symmetry.

arXiv commentv3: improved discussion and JHEP accepted, 32 pages + 2 appendices

References in corpus (67)

• Generalized Global Symmetries
• N=2 dualities
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Coupling a QFT to a TQFT and Duality
• New N=2 Superconformal Field Theories in Four Dimensions
• On gauging finite subgroups
• Index for three dimensional superconformal field theories with general R-charge assignments
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• On 2-Group Global Symmetries and Their Anomalies
• Mirrors of 3d Sicilian theories
• General Argyres-Douglas Theory
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Notes on generalized global symmetries in QFT
• 3d dualities from 4d dualities for orthogonal groups
• N=1 Deformations and RG Flows of N=2 SCFTs
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• The Hilbert Series of the One Instanton Moduli Space
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• A holographic computation of the central charges of d=4, N=2 SCFTs
• The Superconformal Index of the E_6 SCFT
• The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs
• Down the rabbit hole with theories of class S
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• 2-Group Global Symmetries and Anomalies in Six-Dimensional Quantum Field Theories
• Lagrangians for generalized Argyres-Douglas theories
• More on the N=2 superconformal systems of type $D_p(G)$
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Tinkertoys for the Twisted D-Series
• Classification of Argyres-Douglas theories from M5 branes
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Infinitely many N=2 SCFT with ADE flavor symmetry
• 2-Group Symmetries in Class S
• Discrete Theta Angles, Symmetries and Anomalies
• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• 2-Group Symmetries and M-Theory
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Higher Symmetries of 5d Orbifold SCFTs
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• Hilbert Series for Moduli Spaces of Two Instantons
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Higher Form Symmetries of Argyres-Douglas Theories
• Conformal Manifolds in Four Dimensions and Chiral Algebras
• Tri-vertices and SU(2)'s
• New aspects of Argyres--Douglas theories and their dimensional reduction
• On Irregular Singularity Wave Functions and Superconformal Indices
• Comments on scaling limits of 4d N=2 theories
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• RG flows with supersymmetry enhancement and geometric engineering
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• VOAs and rank-two instanton SCFTs
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Singular points in N=2 SQCD
• Star shaped quivers with flux
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
• Matching higher symmetries across Intriligator-Seiberg duality

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• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories