On discrete anomalies in chiral gauge theories
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Smith, Philip Boyle
Karasik, Avner
Lohitsiri, Nakarin
Tong, David https://orcid.org/0000-0001-9120-2174
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.
Description
Keywords
Regular Article - Theoretical Physics, Anomalies in Field and String Theories, Discrete Symmetries, Confinement, Nonperturbative Effects
Journal Title
JOURNAL OF HIGH ENERGY PHYSICS
Conference Name
Journal ISSN
1029-8479
1029-8479
1029-8479
Volume Title
2022
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
Simons Foundation (567525)
STFC (ST/T000694/1)
EPSRC (EP/V047655/1)
STFC (ST/T000694/1)
EPSRC (EP/V047655/1)