Finite Action Yang-Mills Solutions on the Group Manifold
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable one to construct solutions of the Yang-Mills equations on the group manifold equipped with the natural Cartan-Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of .
Cite
@article{arxiv.gr-qc/9605036,
title = {Finite Action Yang-Mills Solutions on the Group Manifold},
author = {T Dereli and J Schray and Robin W Tucker},
journal= {arXiv preprint arXiv:gr-qc/9605036},
year = {2008}
}
Comments
10 pages LaTeX (REVTeX3.0, No Figures), To appear in J. Physics A: Mathematical and General