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

Department of Mathematics, University of Aizu, Aizuwakamatsu 965-8580, Japan

and

Department of Natural Science, Faculty of Education, Hirosaki University, Bunkyo-cho 1, Hirosaki, Aomori 036-8560, Japan

Corresponding author.

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https://doi.org/10.1142/S0217732314501569Cited by:1 (Source: Crossref)

Abstract

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.

Keywords:

PACS: 11.15.Yc, 11.25.Yb, 11.25.-w

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