SciPost Physics

SciPost Phys. 11, 096 (2021) · published 24 November 2021

• doi: 10.21468/SciPostPhys.11.5.096
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Abstract

We determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d N=(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually non-local dimension-2 surface operators, modulo screening. Compactifying these surface operators leads to a group of mutually non-local line operators in 4d, modulo screening and flavor charges. Complete specification of a 4d theory arising from such a compactification requires a choice of a maximal subgroup of mutually local line operators, and the 1-form symmetry group of the chosen 4d theory is identified as the Pontryagin dual of this maximal subgroup. We also comment on how to generalize our results to compactifications involving irregular punctures. Finally, to complement the analysis from 6d, we derive the 1-form symmetry from a Type IIB realization of class S theories.

• Buican et al., 1-form symmetry, isolated $$ \mathcal{N} $$ = 2 SCFTs, and Calabi-Yau threefolds
  J. High Energ. Phys. 2021, 24 (2021) [Crossref]
• Apruzzi et al., Aspects of categorical symmetries from branes: SymTFTs and generalized charges
  SciPost Phys. 17, 025 (2024) [Crossref]
• Bhardwaj et al., Liberating confinement from Lagrangians: 1-form symmetries and lines in 4d N=1 from 6d N=(2,0)
  SciPost Phys. 12, 040 (2022) [Crossref]
• Cvetič et al., All eight- and nine-dimensional string vacua from junctions
  Phys. Rev. D 106, 026007 (2022) [Crossref]
• Comi et al., Chern-Simons-Trinion theories: One-form symmetries and superconformal indices
  J. High Energ. Phys. 2023, 60 (2023) [Crossref]
• Magureanu, Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
  J. High Energ. Phys. 2022, 163 (2022) [Crossref]
• Antinucci et al., “Zoology” of non-invertible duality defects: the view from class $$ \mathcal{S} $$
  J. High Energ. Phys. 2024, 36 (2024) [Crossref]
• Etxebarria et al., Deconfining $$ \mathcal{N} $$ = 2 SCFTs or the art of brane bending
  J. High Energ. Phys. 2022, 140 (2022) [Crossref]
• Furrer et al., Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
  SciPost Phys. 17, 073 (2024) [Crossref]
• Hübner et al., Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations
  SciPost Phys. 13, 030 (2022) [Crossref]
• Bashmakov et al., Non-invertible symmetries of class S theories
  J. High Energ. Phys. 2023, 225 (2023) [Crossref]
• Schäfer-Nameki, ICTP lectures on (non-)invertible generalized symmetries
  Physics Reports 1063, 1 (2024) [Crossref]
• Nardoni et al., Dimensionally reducing generalized symmetries from (3+1)-dimensions
  J. High Energ. Phys. 2024, 110 (2024) [Crossref]
• Closset et al., Coulomb and Higgs branches from canonical singularities. Part I. Hypersurfaces with smooth Calabi-Yau resolutions
  J. High Energ. Phys. 2022, 61 (2022) [Crossref]
• Carta et al., Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
  J. High Energ. Phys. 2022, 59 (2022) [Crossref]
• Carta et al., Comments on Non-invertible Symmetries in Argyres-Douglas Theories
  J. High Energ. Phys. 2023, 135 (2023) [Crossref]
• Apruzzi et al., Symmetry TFTs from String Theory
  Commun. Math. Phys. 402, 895 (2023) [Crossref]
• Lawrie et al., Intermediate defect groups, polarization pairs, and noninvertible duality defects
  Phys. Rev. D 109, 026005 (2024) [Crossref]
• Heckman et al., The Branes Behind Generalized Symmetry Operators
  Fortschritte der Physik 71, 2200180 (2023) [Crossref]
• Carta et al., A tale of 2-groups: Dp(USp(2N)) theories
  J. High Energ. Phys. 2023, 102 (2023) [Crossref]
• Cvetič et al., Generalized symmetries, gravity, and the swampland
  Phys. Rev. D 109, 026012 (2024) [Crossref]
• Bhardwaj et al., Generalized symmetries and anomalies of 3d $\mathcal{N}=4$ SCFTs
  SciPost Phys. 16, 080 (2024) [Crossref]
• Cao et al., Subsystem non-invertible symmetry operators and defects
  SciPost Phys. 15, 155 (2023) [Crossref]
• Razamat et al., Aspects of 4d supersymmetric dynamics and geometry
  SciPost Phys. Lect. Notes, 78 (2024) [Crossref]
• Bhardwaj et al., Lectures on generalized symmetries
  Physics Reports 1051, 1 (2024) [Crossref]
• Damia et al., Non-invertible symmetries along 4d RG flows
  J. High Energ. Phys. 2024, 84 (2024) [Crossref]
• Argyres et al., Dirac pairings, one-form symmetries and Seiberg-Witten geometries
  J. High Energ. Phys. 2022, 20 (2022) [Crossref]
• Bhardwaj et al., Anomalies of generalized symmetries from solitonic defects
  SciPost Phys. 16, 087 (2024) [Crossref]
• Bhardwaj, 2-Group symmetries in class S
  SciPost Phys. 12, 152 (2022) [Crossref]
• Neitzke et al., The quantum UV-IR map for line defects in $$ \mathfrak{gl} $$(3)-type class S theories
  J. High Energ. Phys. 2022, 81 (2022) [Crossref]
• Heckman et al., Top down approach to topological duality defects
  Phys. Rev. D 108, 046015 (2023) [Crossref]
• Del Zotto et al., Global structures from the infrared
  J. High Energ. Phys. 2023, 58 (2023) [Crossref]
• Del Zotto et al., Higher symmetries of 5D orbifold SCFTs
  Phys. Rev. D 106, 046010 (2022) [Crossref]
• Bhardwaj et al., Disconnected 0-form and 2-group symmetries
  J. High Energ. Phys. 2023, 98 (2023) [Crossref]
• Amariti et al., One-form symmetries in $\mathcal{N} = 3$ S-folds
  SciPost Phys. 15, 132 (2023) [Crossref]
• van Beest et al., Symmetry TFTs for 3d QFTs from M-theory
  J. High Energ. Phys. 2023, 226 (2023) [Crossref]
• Baume et al., Super-spin chains for 6D SCFTs
  Nuclear Physics B 992, 116250 116250 (2023) [Crossref]
• Giacomelli et al., Discrete global symmetries: gauging and twisted compactification
  J. High Energ. Phys. 2024, 304 (2024) [Crossref]
• Dierigl et al., R7-branes as charge conjugation operators
  Phys. Rev. D 109, 046004 (2024) [Crossref]
• Bhardwaj et al., Relative defects in relative theories: Trapped higher-form symmetries and irregular punctures in class S
  SciPost Phys. 13, 101 (2022) [Crossref]
• Bashmakov et al., On the 6d origin of non-invertible symmetries in 4d
  J. High Energ. Phys. 2023, 161 (2023) [Crossref]
• Akhond et al., The hitchhiker's guide to 4d $\mathcal{N}=2$ superconformal field theories
  SciPost Phys. Lect. Notes, 64 (2022) [Crossref]
• Closset et al., Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
  SciPost Phys. 16, 137 (2024) [Crossref]