The algebra of anomaly interplay
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...
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| Format: | Article |
| Language: | English |
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SciPost
2021-03-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.10.3.074 |
| Summary: | 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. |
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| ISSN: | 2542-4653 |