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2-Group Symmetries and their Classification in 6d

by Fabio Apruzzi, Lakshya Bhardwaj, Dewi S. W. Gould, Sakura Schafer-Nameki

Submission summary

As Contributors: Dewi Gould
Preprint link: scipost_202111_00020v1
Date submitted: 2021-11-12 14:39
Submitted by: Gould, Dewi
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Mathematical Physics
Approach: Theoretical

Abstract

We uncover 2-group symmetries in 6d superconformal field theories. These symmetries arise when the discrete 1-form symmetry and continuous flavor symmetry group of a theory mix with each other. We classify all 6d superconformal field theories with such 2-group symmetries. The approach taken in 6d is applicable more generally, with minor modifications to include dimension specific operators (such as instantons in 5d and monopoles in 3d), and we provide a discussion of the dimension-independent aspects of the analysis. We include an ancillary mathematica code for computing 2-group symmetries, once the dimension specific input is provided. We also discuss a mixed 't Hooft anomaly between discrete 0-form and 1-form symmetries in 6d.

Current status:
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Submission scipost_202111_00020v1 on 12 November 2021

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