English

2-Group Symmetries in Class S

High Energy Physics - Theory 2022-05-11 v1

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.

Keywords

Cite

@article{arxiv.2107.06816,
  title  = {2-Group Symmetries in Class S},
  author = {Lakshya Bhardwaj},
  journal= {arXiv preprint arXiv:2107.06816},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T04:11:53.808Z