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Seminar
FIELD Phys:StringTheory
DATE October 22 (Mon), 2018
TIME 16:00-17:30
PLACE 1423
SPEAKER Chang-Tse Hsieh
HOST Song, Jaewon
INSTITUTE IPMU
TITLE Discrete gauge anomalies revisited
ABSTRACT Cancellation of gauge anomalies is a fundamental constraint on a consistent quantum field theory. While anomalies of continuous symmetries such as U(1) are well understood, the cases of discrete symmetries have been studied much less. In this talk, we revisit discrete gauge anomalies in chiral fermion theories in 3 + 1 dimensions --- from a more modern perspective based on the concept of symmetry protected topological (SPT) phases. We focus on the simplest case that the discrete internal symmetries are cyclic groups. A reformulation of the "discrete anomaly cancellation" conditions, first proposed by Ib??ez and Ross in 1991 [1], is given. Also, the role of symmetry extensions in discrete anomalies is clarified in a formal fashion. Therefore, our work provides a fundamental and complete understanding of discrete symmetry anomalies, respecting the viewpoint in the work of Banks and Dine [2].
(This talk is based on a recent arXiv preprint [3].)

References:
[1] L. E. Ib??ez and G. G. Ross, Phys. Lett. B 260 (1991) 291.
[2] T. Banks and M. Dine, Phys. Rev. D 45 (1992) 1424.
[3] C.-T. Hsieh, arXiv:1808.02881 (2018).
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