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

Abstract

We find a class of hermitian generalized Jordan triple systems (HGJTSs) and hermitian $(\epsilon ,\delta )$-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.

9 pages, references added

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