On discrete anomalies in chiral gauge theories

Philip Boyle Smith, Avner Karasik, Nakarin Lohitsiri, David Tong
2022 Journal of High Energy Physics  
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
more » ... xhibit an explicit path to the gapless fermion phase, showing that there is no kinematic obstruction to realising these phases.
doi:10.1007/jhep01(2022)112 fatcat:uhvfi7xbd5gmzaso7lwfq3qy7m