Hermitian(ϵ,δ)-Freudenthal-Kantor Triple Systems and Certain Applications of*-Generalized Jordan Triple Systems to Field Theory | Zendy

Noriaki Kamiya | Zendy; Matsuo Sato | Zendy

Open Access

Hermitian(ϵ,δ)-Freudenthal-Kantor Triple Systems and Certain Applications of*-Generalized Jordan Triple Systems to Field Theory

Author(s) -

Noriaki Kamiya,

Matsuo Sato

Publication year - 2014

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2014/310264

Subject(s) - algorithm , artificial intelligence , materials science , computer science

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

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