hermitian (ϵ,δ)-freudenthal-kantor triple systems and certain applications of *-generalized jordan triple systems to field theory

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ID: 219702
2014
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Ranked #24 of 103 articles by views in biotechnology reports (amsterdam, netherlands)

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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.
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Authors
Journal biotechnology reports (amsterdam, netherlands)
Year 2014
DOI
10.1155/2014/310264
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