Gapped Chiral Fermions

In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a ’t Hooft anomaly. practice, realized on in chiral manner necessitates some dynamics beyond simple quadratic mass terms. We show how this can be achieved using familiar results about the strong coupling of supersymmetric gauge theories and, particular, phenomenon confinement without breaking. present models gap while group under which they transform representations. For example, we collection 4D carry quantum numbers one generation standard model, but breaking electroweak symmetry. further groups 16 certain discrete symmetries exhibit mod anomaly.Received 1 October 2020Revised 14 January 2021Accepted 12 February 2021DOI:https://doi.org/10.1103/PhysRevX.11.011063Published by American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) and published article’s title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasAnomaliesDualities field theoryNonperturbative effects theorySymmetry protected topological statesParticles & FieldsCondensed Matter, Materials Applied Physics