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On a class of selection rules without group actions in field theory and string theory
by Justin Kaidi, Yuji Tachikawa, Hao Y. Zhang
Submission summary
| Authors (as registered SciPost users): | Hao Zhang |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2402.00105v1 (pdf) |
| Date submitted: | 2024-03-08 15:55 |
| Submitted by: | Zhang, Hao |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We discuss a class of selection rules which i) do not come from group actions on fields, ii) are exact at tree level in perturbation theory, iii) are increasingly violated as the loop order is raised, and iv) eventually reduce to selection rules associated with an ordinary group symmetry. We start from basic field-theoretical examples in which fields are labeled by conjugacy classes rather than representations of a group, and discuss generalizations using fusion algebras or hypergroups. We also discuss how such selection rules arise naturally in string theory, such as for non-Abelian orbifolds or other cases with non-invertible worldsheet symmetries.
Current status:
In refereeing