Gapped Chiral Fermions
In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a ’t Hooft anomaly. In practice, preserving a symmetry that is realized on fermions in a chiral manner necessitates some dynamics beyond simple quadratic mass terms. We show how this can be ach...
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American Physical Society
2021
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oai:doaj.org-article:a09ad3815d36494f9568301a922179842021-12-02T15:59:34ZGapped Chiral Fermions10.1103/PhysRevX.11.0110632160-3308https://doaj.org/article/a09ad3815d36494f9568301a922179842021-03-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011063http://doi.org/10.1103/PhysRevX.11.011063https://doaj.org/toc/2160-3308In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a ’t Hooft anomaly. In practice, preserving a symmetry that is realized on fermions in a chiral manner necessitates some dynamics beyond simple quadratic mass terms. We show how this can be achieved using familiar results about the strong coupling dynamics of supersymmetric gauge theories and, in particular, the phenomenon of confinement without chiral symmetry breaking. We present simple models that gap fermions while preserving a symmetry group under which they transform in chiral representations. For example, we show how to gap a collection of 4D fermions that carry the quantum numbers of one generation of the standard model, but without breaking electroweak symmetry. We further show how to gap fermions in groups of 16 while preserving certain discrete symmetries that exhibit a mod 16 anomaly.Shlomo S. RazamatDavid TongAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011063 (2021) |
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DOAJ |
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DOAJ |
| language |
EN |
| topic |
Physics QC1-999 |
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Physics QC1-999 Shlomo S. Razamat David Tong Gapped Chiral Fermions |
| description |
In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a ’t Hooft anomaly. In practice, preserving a symmetry that is realized on fermions in a chiral manner necessitates some dynamics beyond simple quadratic mass terms. We show how this can be achieved using familiar results about the strong coupling dynamics of supersymmetric gauge theories and, in particular, the phenomenon of confinement without chiral symmetry breaking. We present simple models that gap fermions while preserving a symmetry group under which they transform in chiral representations. For example, we show how to gap a collection of 4D fermions that carry the quantum numbers of one generation of the standard model, but without breaking electroweak symmetry. We further show how to gap fermions in groups of 16 while preserving certain discrete symmetries that exhibit a mod 16 anomaly. |
| format |
article |
| author |
Shlomo S. Razamat David Tong |
| author_facet |
Shlomo S. Razamat David Tong |
| author_sort |
Shlomo S. Razamat |
| title |
Gapped Chiral Fermions |
| title_short |
Gapped Chiral Fermions |
| title_full |
Gapped Chiral Fermions |
| title_fullStr |
Gapped Chiral Fermions |
| title_full_unstemmed |
Gapped Chiral Fermions |
| title_sort |
gapped chiral fermions |
| publisher |
American Physical Society |
| publishDate |
2021 |
| url |
https://doaj.org/article/a09ad3815d36494f9568301a92217984 |
| work_keys_str_mv |
AT shlomosrazamat gappedchiralfermions AT davidtong gappedchiralfermions |
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1718385345221885952 |