SciPost Submission Page
Extending fusion rules with finite subgroups: For a general understanding of quotient or gauging
by Yoshiki Fukusumi, Shinichiro Yahagi
Submission summary
| Authors (as registered SciPost users): | Shinichiro Yahagi |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2508.08639v4 (pdf) |
| Date submitted: | Dec. 3, 2025, 5:46 a.m. |
| Submitted by: | Shinichiro Yahagi |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
Abstract
We construct the $Z_{N}$ symmetry extended fusion ring of bulk and chiral theories and the corresponding modular partition functions with nonanomalous subgroup $Z_{n}(\subset Z_{N})$. The chiral fusion ring provides fundamental data for the $Z_{N}$ graded symmetry topological field theories and also provides algebraic data of smeared boundary conformal field theories describing zero modes of the extended models. For more general multicomponent or coupled systems, we also obtain a new series of extended theories. By applying the folding trick, their partition functions correspond to charged or gapped domain walls or massless renormalization group flows preserving quotient group structures.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing