Comments on QCD3 and anomalies with fundamental and adjoint matter

A bstract ’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...

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Bibliographic Details
Published in:The journal of high energy physics 2022-10, Vol.2022 (10), p.81-29, Article 81
Main Authors: Lohitsiri, Nakarin, Sulejmanpasic, Tin
Format: Article
Language:English
Subjects:
Anomalies
Anomalies in Field and String Theories
Classical and Quantum Gravitation
Elementary Particles
Fermions
Field Theories in Lower Dimensions
Flavor (particle physics)
Gauge theory
High energy physics
Parity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
String Theory
Symmetry
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Summary:A bstract ’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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2022)081