On discrete anomalies in chiral gauge theories

Autor: Philip Boyle Smith, Avner Karasik, Nakarin Lohitsiri, David Tong
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 1, Pp 1-16 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2022)112
Popis: 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.
Databáze: Directory of Open Access Journals