论文标题
关于QCD $ _3 $的评论和基本和伴随物质的异常
Comments on QCD$_3$ and anomalies with fundamental and adjoint matter
论文作者
论文摘要
'T Hooft异常匹配对于限制量规理论的低能阶段非常有力。在3D中，一个常见的异常是$ t $ - 对称理论中的奇偶校验异常，在这种理论中，如果不破坏时间反转对称性，就无法评估全球对称组。我们发现，在量规组的基本表示中，具有费尔米金或骨气的$ t $ smortric $ \ text {su}（n）$仪表理论具有fermionic或bosonic物质，在风味组和$ t $ s-Symmetry之间具有均等的异常现象，只要在邻接组中有一个无数的大型大型典型的大群落代表。然后，我们与最新的MOD 16时反转异常分析了奇偶校验异常，并给出一些自由的费米昂建议，作为与异常相符的低能量阶段的候选者。我们对结论中的$ n $限制和$ \ t $破解的制度以及4D相关的异常做出了简短的评论。 }
'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. }
