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1-form Symmetries of 4d N=2 Class S Theories

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arxiv 2102.01693 v2 pith:36IACADO submitted 2021-02-02 hep-th

1-form Symmetries of 4d N=2 Class S Theories

Lakshya Bhardwaj , Max Hubner , Sakura Schafer-Nameki This is my paper
classification hep-th
keywords formgroupoperatorstheoryclassmutuallysurfacesymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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