Author
Bhardwaj, L
Hübner, M
Schafer-Nameki, S
Journal title
SciPost Physics
DOI
10.21468/scipostphys.11.5.096
Issue
5
Volume
11
Last updated
2024-04-02T09:35:12.407+01:00
Abstract
We determine the 1-form symmetry group for any 4d $\mathcal{N}$ = 2 class S theory constructed by compactifying a 6d $\mathcal{N}$ =(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.
Symplectic ID
1221567
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Publication type
Journal Article
Publication date
24 Nov 2021
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