Comments on QCD$_3$ and anomalies with fundamental and adjoint matter
'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 $\t...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
16.05.2022
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Subjects | |
Online Access | Get full text |
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Summary: | '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
$\text{SU}(N)$ 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. 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. } |
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DOI: | 10.48550/arxiv.2205.07825 |