A class of Hermitian generalized Jordan triple systems and Chern-Simons gauge theory

作者：Kamiya Noriaki; Sato Matsuo^*

来源：Modern Physics Letters A, 2014, 29(29): 1450156.

DOI：10.1142/S0217732314501569

• Generalized Jordan triple systems
• Lie algebras
• Hermitian operators
• three-algebras
• Chern-Simons gauge theories
• M-theory

We find a class of Hermitian generalized Jordan triple systems (HGJTSs) and Hermitian (is an element of, delta)-Freudenthal-Kantor triple systems (HFKTSs). We apply one of the most simple HGJTSs which we find to a field theory and obtain a typical u(N) Chern-Simons gauge theory with a fundamental matter.

• 出版日期2014-9-21