Pocket formulae for non-Abelian discrete anomaly freedom
We show that the discrete anomaly constraints governing popular non-Abelian symmetries of use in (e.g.) flavored, supersymmetric, and dark matter model building typically subdivide into two classes differentiated by the simple restrictions they impose on the number of fields transforming under certa...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318307949 |
| _version_ | 1811212916452491264 |
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| author | Jim Talbert |
| author_facet | Jim Talbert |
| author_sort | Jim Talbert |
| collection | DOAJ |
| description | We show that the discrete anomaly constraints governing popular non-Abelian symmetries of use in (e.g.) flavored, supersymmetric, and dark matter model building typically subdivide into two classes differentiated by the simple restrictions they impose on the number of fields transforming under certain irreducible representations of the relevant groups. These constraints lead us both to generic conclusions for common Beyond-the-Standard-Model constructions (including rather powerful statements for Grand Unified theories) as well as to simplified formulae that can be rapidly applied to determine whether a given field and symmetry content suffers from gauge and gravitational anomalies. |
| first_indexed | 2024-04-12T05:37:26Z |
| format | Article |
| id | doaj.art-12c232607c7a433e90e05ac7935ed3b7 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-12T05:37:26Z |
| publishDate | 2018-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-12c232607c7a433e90e05ac7935ed3b72022-12-22T03:45:47ZengElsevierPhysics Letters B0370-26932018-11-01786426431Pocket formulae for non-Abelian discrete anomaly freedomJim Talbert0Theory Group, Deutsches Elektronen-Synchrotron (DESY), D-22607 Hamburg, GermanyWe show that the discrete anomaly constraints governing popular non-Abelian symmetries of use in (e.g.) flavored, supersymmetric, and dark matter model building typically subdivide into two classes differentiated by the simple restrictions they impose on the number of fields transforming under certain irreducible representations of the relevant groups. These constraints lead us both to generic conclusions for common Beyond-the-Standard-Model constructions (including rather powerful statements for Grand Unified theories) as well as to simplified formulae that can be rapidly applied to determine whether a given field and symmetry content suffers from gauge and gravitational anomalies.http://www.sciencedirect.com/science/article/pii/S0370269318307949 |
| spellingShingle | Jim Talbert Pocket formulae for non-Abelian discrete anomaly freedom Physics Letters B |
| title | Pocket formulae for non-Abelian discrete anomaly freedom |
| title_full | Pocket formulae for non-Abelian discrete anomaly freedom |
| title_fullStr | Pocket formulae for non-Abelian discrete anomaly freedom |
| title_full_unstemmed | Pocket formulae for non-Abelian discrete anomaly freedom |
| title_short | Pocket formulae for non-Abelian discrete anomaly freedom |
| title_sort | pocket formulae for non abelian discrete anomaly freedom |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318307949 |
| work_keys_str_mv | AT jimtalbert pocketformulaefornonabeliandiscreteanomalyfreedom |