Hermitian (ϵ,δ)-Freudenthal-Kantor Triple Systems and Certain Applications of *-Generalized Jordan Triple Systems to Field Theory
| Autor: | Noriaki Kamiya, Matsuo Sato |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Advances in High Energy Physics, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1687-7357 1687-7365 |
| DOI: | 10.1155/2014/310264 |
| Popis: | We define Hermitian (ϵ,δ)-Freudenthal-Kantor triple systems and prove a structure theorem. We also give some examples of triple systems that are generalizations of the u(N)⊕u(M) and sp(2N)⊕u(1) Hermitian 3-algebras. We apply a *-generalized Jordan triple system to a field theory and obtain a Chern-Simons gauge theory. We find that the novel Higgs mechanism works, where the Chern-Simons gauge theory reduces to a Yang-Mills theory in a certain limit. |
| Databáze: | Directory of Open Access Journals |
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