hermitian (ϵ,δ)-freudenthal-kantor triple systems and certain applications of *-generalized jordan triple systems to field theory
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2014
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Abstract
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.
| Reference Key |
kamiya2014advanceshermitian
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| Authors | ;Noriaki Kamiya;Matsuo Sato |
| Journal | biotechnology reports (amsterdam, netherlands) |
| Year | 2014 |
| DOI |
10.1155/2014/310264
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