Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2014, Article ID 310264, 7 pages
Research Article

Hermitian -Freudenthal-Kantor Triple Systems and Certain Applications of *-Generalized Jordan Triple Systems to Field Theory

1Department of Mathematics, University of Aizu, Aizuwakamatsu 965-8580, Japan
2Department of Natural Science, Faculty of Education, Hirosaki University, Bunkyo-cho 1, Hirosaki, Aomori 036-8560, Japan

Received 15 August 2013; Revised 5 January 2014; Accepted 3 March 2014; Published 3 April 2014

Academic Editor: Anastasios Petkou

Copyright © 2014 Noriaki Kamiya and Matsuo Sato. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We define Hermitian -Freudenthal-Kantor triple systems and prove a structure theorem. We also give some examples of triple systems that are generalizations of the and Hermitian 3-algebras. We apply a -generalized Jordan triple system to a field theory and obtain a Chern-Simons gauge theory. We find that the novel Higgs mechanism works, where the Chern-Simons gauge theory reduces to a Yang-Mills theory in a certain limit.