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) andhermitian $(\epsilon, \delta)$-Freudenthal-Kantor triple systems (HFKTSs). Weapply one of the most simple HGJTSs which we find to a field theory, and obtaina typical u(N) Chern-Simons gauge theory with a fundamental matter.