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On Discrete Anomalies in Chiral Gauge Theories
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On Discrete Anomalies in Chiral Gauge Theories
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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.
Forward citations
Cited by 2 Pith papers
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The absence of global anomalies of CP symmetry
Gauged CP symmetry in four dimensions introduces no new global anomalies for connected, simply-connected gauge groups; the standard model matter content is anomaly-free under a gauged CP.
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Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
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