Quaternion based generalization of Chern-Simons theories in arbitrary dimensions
High Energy Physics - Theory
2017-05-31 v2
Abstract
A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is shown to be equivalent to a three Z(2)-gradings structure, thus clarifying the quaternion role in a previous formulation.
Cite
@article{arxiv.1609.03712,
title = {Quaternion based generalization of Chern-Simons theories in arbitrary dimensions},
author = {Alessandro D'Adda and Noboru Kawamoto and Naoki Shimode and Takuya Tsukioka},
journal= {arXiv preprint arXiv:1609.03712},
year = {2017}
}
Comments
11 pages