Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology

被引：103

作者：

Kapustin, Anton ^{[1
]}

Thorngren, Ryan ^{[2
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

PHYSICAL REVIEW LETTERS | 2014年 / 112卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.112.231602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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) x G(2) such that gauging G(1) necessarily breaks G(2) and vice versa. This is analogous to the Adler-BellJackiw axial anomaly in four dimensions and parity anomaly in three dimensions.

引用

页数：4

共 15 条

[1] AXIAL-VECTOR VERTEX IN SPINOR ELECTRODYNAMICS [J].