Comments on QCD3 and anomalies with fundamental and adjoint matter

Lohitsiri, Nakarin; Sulejmanpasic, Tin

doi:10.1007/jhep10(2022)081

Comments on QCD3 and anomalies with fundamental and adjoint matter

Lohitsiri, Nakarin; Sulejmanpasic, Tin

Authors

Dr Nakarin Lohitsiri nakarin.lohitsiri@durham.ac.uk
Post Doctoral Research Associate

Dr Tin Sulejmanpasic tin.sulejmanpasic@durham.ac.uk
Associate Professor

Abstract

’t Hooft anomaly matching is powerful for constraining the low energy phases of gauge theories. In 3d one common anomaly is the parity anomaly in a T-symmetric theory where one cannot gauge the global symmetry group without breaking the time-reversal symmetry. We find that a T-symmetric SU(N) gauge theory with either fermionic or bosonic matter in the fundamental representation of the gauge group has a parity anomaly between the flavor group and T-symmetry provided that there is also a massless Majorana fermion in the adjoint representation of the gauge group. In particular, there is always a mixed anomaly between T and U(1) baryon symmetry. We then analyze the parity anomaly in this theory, together with the more recent mod 16 time-reversal anomaly, and give some free fermion proposals as candidates for the low energy phases consistent with the anomalies. We make brief comments about the large N limit and the T-broken regimes in the conclusion as well as related anomalies in 4d.

Citation

Lohitsiri, N., & Sulejmanpasic, T. (2022). Comments on QCD3 and anomalies with fundamental and adjoint matter. Journal of High Energy Physics, 2022(10), Article 81. https://doi.org/10.1007/jhep10%282022%29081

Journal Article Type	Article
Acceptance Date	Sep 29, 2022
Online Publication Date	Oct 12, 2022
Publication Date	2022
Deposit Date	Oct 28, 2022
Publicly Available Date	Oct 28, 2022
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2022
Issue	10
Article Number	81
DOI	https://doi.org/10.1007/jhep10%282022%29081

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