Hermitian (ϵ, δ)-Freudenthal-Kantor Triple Systems and Certain Applications of *-Generalized Jordan Triple Systems to Field Theory. (3rd April 2014)

• Record Type: Journal Article
• Authors: Kamiya, Noriaki; Sato, Matsuo
• Other Names: Petkou Anastasios Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2014(2014)
• Publication Date: 2014-04-03
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2014/310264
• Languages: English
• ISSNs: 1687-7357

Abstract

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 s p ( 2 N ) ⊕ 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.