三维空间中的反常离散对称性和群上同调。

Anomalous discrete symmetries in three dimensions and group cohomology.

机构信息

California Institute of Technology, Pasadena, California 91125, USA.

University of California, Berkeley, California 94720, USA.

出版信息

Phys Rev Lett. 2014 Jun 13;112(23):231602. doi: 10.1103/PhysRevLett.112.231602.

DOI:10.1103/PhysRevLett.112.231602

PMID:24972194

Abstract

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.

摘要

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。