Super self-duality for Yang-Mills fields in dimensions greater than four
High Energy Physics - Theory
2009-11-07 v1
Abstract
Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge fields, the super self-duality equations are investigated, namely, systems of linear algebraic relations on the components of the supercurvature, which imply the self-duality equations on the even part of superspace. A group theory based algorithm for finding such systems is developed. Representative examples in various dimensions are provided, including the Spin(7) and G(2) invariant systems in d=8 and 7, respectively.
Cite
@article{arxiv.hep-th/0109072,
title = {Super self-duality for Yang-Mills fields in dimensions greater than four},
author = {Chandrashekar Devchand and Jean Nuyts},
journal= {arXiv preprint arXiv:hep-th/0109072},
year = {2009}
}
Comments
51 pages, latex