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

摘要

We find a class of Hermitian generalized Jordan triple systems (HGJTSs) and Hermitian (ε, δ)-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.