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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

advances in high energy physics

Hermitian<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>ϵ</mml:mi><mml:mo>,</mml:mo><mml:mi>δ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Freudenthal-Kantor Triple Systems and Certain Applications of<i>*</i>-Generalized Jordan Triple Systems to Field Theory

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