California Institute of Technology, Pasadena, California 91125, USA.
University of California, Berkeley, California 94720, USA.
Phys Rev Lett. 2014 Jun 13;112(23):231602. doi: 10.1103/PhysRevLett.112.231602.
We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing 't Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G(1) × G(2) such that gauging G(1) necessarily breaks G(2) and vice versa. This is analogous to the Adler-Bell-Jackiw axial anomaly in four dimensions and parity anomaly in three dimensions.
我们研究了全局离散内部对称 G 的't Hooft 反常。我们构造了三维中具有非平凡't Hooft 反常的离散全局对称的玻色场论的例子。我们还构造了具有全局离散内部对称 G(1)×G(2)的三维场论，使得规范 G(1)必然破坏 G(2)，反之亦然。这类似于四维中的 Adler-Bell-Jackiw 轴反常和三维中的宇称反常。
