The algebra of anomaly interplay

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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Main Author: Joe Davighi, Nakarin Lohitsiri
Format: Article
Language:English
Published: SciPost 2021-03-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.3.074
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spelling doaj-da0698f972364760af753c5262859c692021-04-19T12:37:53ZengSciPostSciPost Physics2542-46532021-03-0110307410.21468/SciPostPhys.10.3.074The algebra of anomaly interplayJoe Davighi, Nakarin LohitsiriWe 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.https://scipost.org/SciPostPhys.10.3.074
collection DOAJ
language English
format Article
sources DOAJ
author Joe Davighi, Nakarin Lohitsiri
spellingShingle Joe Davighi, Nakarin Lohitsiri
The algebra of anomaly interplay
SciPost Physics
author_facet Joe Davighi, Nakarin Lohitsiri
author_sort Joe Davighi, Nakarin Lohitsiri
title The algebra of anomaly interplay
title_short The algebra of anomaly interplay
title_full The algebra of anomaly interplay
title_fullStr The algebra of anomaly interplay
title_full_unstemmed The algebra of anomaly interplay
title_sort algebra of anomaly interplay
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2021-03-01
description 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.
url https://scipost.org/SciPostPhys.10.3.074
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