On discrete anomalies in chiral gauge theories
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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
Number
ARTN 112
Pages
112
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Smith, P. B., Karasik, A., Lohitsiri, N., & Tong, D. (2022). On discrete anomalies in chiral gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2022 (1. ARTN 112), 112. https://doi.org/10.1007/JHEP01(2022)112
Abstract
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>We study two well-known SU(<jats:italic>N</jats:italic>) 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.</jats:p>
Keywords
Anomalies in Field and String Theories, Discrete Symmetries, Confinement, Nonperturbative Effects
Sponsorship
Simons Foundation (567525)
STFC (ST/T000694/1)
EPSRC (EP/V047655/1)
Identifiers
External DOI: https://doi.org/10.1007/JHEP01(2022)112
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333481
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