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2-Group Symmetries in Class S

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arxiv 2107.06816 v1 pith:PGG22RGX submitted 2021-07-14 hep-th

2-Group Symmetries in Class S

Lakshya Bhardwaj This is my paper
classification hep-th
keywords symmetriesclassgroupclassescompactifyingdefectsequivalenceflavor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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