2-Group symmetries and their classification in 6d
Fabio Apruzzi, Lakshya Bhardwaj, Dewi S. W. Gould, Sakura Schäfer-Nameki
SciPost Phys. 12, 098 (2022) · published 18 March 2022
- doi: 10.21468/SciPostPhys.12.3.098
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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.
Cited by 49
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])
- Simons Foundation