SciPost Submission Page
The algebra of anomaly interplay
by Joe Davighi, Nakarin Lohitsiri
Submission summary
| Authors (as registered SciPost users): | Joe Davighi · Nakarin Lohitsiri |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2011.10102v3 (pdf) |
| Date accepted: | March 11, 2021 |
| Date submitted: | March 2, 2021, 4:20 p.m. |
| Submitted by: | Nakarin Lohitsiri |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting of short exact sequences known to classify invertible field theories. We study various examples of the phenomenon in 2, 4, and 6 dimensions. We also describe how this understanding of anomaly interplay provides a rigorous bordism-based version of an old method for calculating global anomalies (starting from local anomalies in a related theory) due to Elitzur and Nair.
Author comments upon resubmission
List of changes
- Added a figure (Figure 1) depicting our extension of the $U(2)$ mapping torus to a 6-manifold it bounds.
- Elaborated on the failure of surjectivity in the 2d example (end of section 4).
- Added three unnumbered subsections inside sections 4 and 5.1 for readability.
- Removed the numbering of the subsection 7.2.1.
- Added an explicit specification in the titles of Appendices A.3 and A.4 and in the captions of tables 1 and 2 that the results are valid when m>1.
- See the responses to the referees' comments for other changes.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)