Unveiling mapping structures of spinor duals
Abstract Following the program of investigation of alternative spinor duals potentially applicable to fermions beyond the standard model, we demonstrate explicitly the existence of several well defined spinor duals. Going further we define a mapping structure among them and the conditions under whic...
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| Format: | Article |
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SpringerOpen
2020-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7896-8 |
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doaj-aab8df95df3a4355bd0f55e6eb8259d52020-11-25T03:00:27ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-04-018041910.1140/epjc/s10052-020-7896-8Unveiling mapping structures of spinor dualsR. T. Cavalcanti0J. M. Hoff da Silva1Departamento de Física e Química, Universidade Estadual Paulista, UNESPDepartamento de Física e Química, Universidade Estadual Paulista, UNESPAbstract Following the program of investigation of alternative spinor duals potentially applicable to fermions beyond the standard model, we demonstrate explicitly the existence of several well defined spinor duals. Going further we define a mapping structure among them and the conditions under which sets of such dual maps do form a group. We also study the covariance of bilinear quantities constructed with the several possible duals, the invariant eigenspaces of those group elements and its connections with spinors classification, as well as dual maps defined as elements of group algebras.http://link.springer.com/article/10.1140/epjc/s10052-020-7896-8 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. T. Cavalcanti J. M. Hoff da Silva |
| spellingShingle |
R. T. Cavalcanti J. M. Hoff da Silva Unveiling mapping structures of spinor duals European Physical Journal C: Particles and Fields |
| author_facet |
R. T. Cavalcanti J. M. Hoff da Silva |
| author_sort |
R. T. Cavalcanti |
| title |
Unveiling mapping structures of spinor duals |
| title_short |
Unveiling mapping structures of spinor duals |
| title_full |
Unveiling mapping structures of spinor duals |
| title_fullStr |
Unveiling mapping structures of spinor duals |
| title_full_unstemmed |
Unveiling mapping structures of spinor duals |
| title_sort |
unveiling mapping structures of spinor duals |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2020-04-01 |
| description |
Abstract Following the program of investigation of alternative spinor duals potentially applicable to fermions beyond the standard model, we demonstrate explicitly the existence of several well defined spinor duals. Going further we define a mapping structure among them and the conditions under which sets of such dual maps do form a group. We also study the covariance of bilinear quantities constructed with the several possible duals, the invariant eigenspaces of those group elements and its connections with spinors classification, as well as dual maps defined as elements of group algebras. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-020-7896-8 |
| work_keys_str_mv |
AT rtcavalcanti unveilingmappingstructuresofspinorduals AT jmhoffdasilva unveilingmappingstructuresofspinorduals |
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