Biquaternion Construction of SL(2,C) Yang-Mills Instantons
High Energy Physics - Theory
2016-02-17 v1 Mathematical Physics
math.MP
Abstract
We use biquaternion to construct SL(2,C) ADHM Yang-Mills instantons. The solutions contain 16k-6 moduli parameters for the kth homotopy class, and include as a subset the SL(2,C) (M,N) instanton solutions constructed previously. In constrast to the SU(2) instantons, the SL(2,C) instantons inhereit jumping lines or singulariries which are not gauge artifacts and can not be gauged away.
Keywords
Cite
@article{arxiv.1510.03313,
title = {Biquaternion Construction of SL(2,C) Yang-Mills Instantons},
author = {Jen-Chi Lee},
journal= {arXiv preprint arXiv:1510.03313},
year = {2016}
}
Comments
11 pages, no figures. talk presented at ISQS-23 at Prague, Czech 2015. to be published in J. of Phys.: Conf. series