Skip to main content

Research Repository

Advanced Search

Comments on QCD3 and anomalies with fundamental and adjoint matter

Lohitsiri, Nakarin; Sulejmanpasic, Tin

Comments on QCD3 and anomalies with fundamental and adjoint matter Thumbnail



’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.


Lohitsiri, N., & Sulejmanpasic, T. (2022). Comments on QCD3 and anomalies with fundamental and adjoint matter. Journal of High Energy Physics, 2022(10), Article 81.

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


Published Journal Article (463 Kb)

Publisher Licence URL

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

You might also like

Downloadable Citations