2-Group Symmetries in Class S

Abstract

2-group symmetries are generalized symmetries that arise when 1-form and 0-form symmetries mix with each other. We uncover the existence of a class of 2-group symmetries in general 4d N=2 theories of Class S that can be constructed by compactifying 6d N=(2,0) SCFTs on Riemann surfaces carrying arbitrary regular punctures and outer-automorphism twist lines. The 2-group structure can be captured in terms of equivalence classes of line defects plus flavor Wilson lines, which can be thought of as accounting for screening of line defects while keeping track of flavor charges. We describe a method for computing these equivalence classes for a general Class S theory using the data on the Riemman surface used for compactifying its parent 6d N=(2,0) theory.

30 pages, A talk discussing the contents of this paper can be viewed at https://us02web.zoom.us/rec/play/L994RVMS8Whs14FAcUhA_z_1c5WQRStU3B9mpn7ziBsLFeIlIYPcP_aiOZhC-ym7fc3xPfJf4j9qgaJa.ZI0p8I1X3QGQvNgm?startTime=1625234720000&_x_zm_rtaid=Sx_k9xE0Q9OR4goZ0Wg61g.1626279278668.76d7fecc168ddc960f1078fec284be40&_x_zm_rhtaid=560

References in corpus (16)

• Generalized Global Symmetries
• Tinkertoys for Gaiotto Duality
• The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs
• Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality
• Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
• Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in 4d N=1 from 6d N=(2,0)
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• Gaiotto Duality for the Twisted A_{2N-1} Series
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Matching higher symmetries across Intriligator-Seiberg duality
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• 1-form Symmetries of 4d N=2 Class S Theories

Cited by in corpus (32)

• Non-Invertible Higher-Categorical Symmetries
• The Branes Behind Generalized Symmetry Operators
• On Continuous 2-Category Symmetries and Yang-Mills Theory
• Non-invertible Symmetries of Class $\mathcal{S}$ Theories
• Non-invertible Symmetries and Higher Representation Theory I
• 2-Group Symmetries and M-Theory
• Higher Symmetries of 5d Orbifold SCFTs
• 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
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
• On the Holographic Dual of a Topological Symmetry Operator
• Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• Anomalies of Generalized Symmetries from Solitonic Defects
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Remarks on Geometric Engineering, Symmetry TFTs and Anomalies
• Disconnected 0-Form and 2-Group Symmetries
• Orbifolds by 2-groups and decomposition
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• Toric 2-group anomalies via cobordism
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Higher-group structure in $2n$-dimensional axion-electrodynamics
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Decomposition in Chern-Simons theories in three dimensions
• Matching higher symmetries across Intriligator-Seiberg duality
• Higher-Matter and Landau-Ginzburg Theory of Higher-Group Symmetries
• Note on lattice description of generalized symmetries in $SU(N)/{\mathbb{Z}}_N$ gauge theories
• Symmetry TFTs from String Theory