The algebra of anomaly interplay

Davighi, Joe; Lohitsiri, Nakarin

doi:10.21468/SciPostPhys.10.3.074

SciPost Physics

The algebra of anomaly interplay

Joe Davighi, Nakarin Lohitsiri

SciPost Phys. 10, 074 (2021) · published 25 March 2021

doi: 10.21468/SciPostPhys.10.3.074
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.3.074
TI  - The algebra of anomaly interplay
PY  - 2021/03/25
UR  - https://www.scipost.org/SciPostPhys.10.3.074
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 3
SP  - 074
A1  - Davighi, Joe
AU  - Lohitsiri, Nakarin
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.10.3.074,
	title={{The algebra of anomaly interplay}},
	author={Joe Davighi and Nakarin Lohitsiri},
	journal={SciPost Phys.},
	volume={10},
	pages={074},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.3.074},
	url={https://scipost.org/10.21468/SciPostPhys.10.3.074},
}

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¹ Joe Davighi,
¹ Nakarin Lohitsiri

¹ University of Cambridge

Funders for the research work leading to this publication