On discrete anomalies in chiral gauge theories
Publication Date
2022-01-21Journal Title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN
1029-8479
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
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Smith, P. B., Karasik, A., Lohitsiri, N., & Tong, D. (2022). On discrete anomalies in chiral gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2022 (1) https://doi.org/10.1007/JHEP01(2022)112
Abstract
: We study two well-known SU(N) chiral gauge theories with fermions in the
symmetric, anti-symmetric and fundamental representations. We give a detailed description
of the global symmetry, including various discrete quotients. Recent work argues that these
theories exhibit a subtle mod 2 anomaly, ruling out certain phases in which the theories
confine without breaking their global symmetry, leaving a gapless composite fermion in the
infra-red. We point out that no such anomaly exists. We further exhibit an explicit path
to the gapless fermion phase, showing that there is no kinematic obstruction to realising
these phases.
Keywords
Regular Article - Theoretical Physics, Anomalies in Field and String Theories, Discrete Symmetries, Confinement, Nonperturbative Effects
Sponsorship
Simons Foundation (567525)
STFC (ST/T000694/1)
EPSRC (EP/V047655/1)
Identifiers
jhep01(2022)112, 17604
External DOI: https://doi.org/10.1007/JHEP01(2022)112
This record's URL: https://www.repository.cam.ac.uk/handle/1810/336465
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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