Self-duality and the Supersymmetric KdV Hierarchy
High Energy Physics - Theory
2015-06-26 v1
Abstract
We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimension associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of Susy KdV equations from such a condition. We formulate the Susy KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimension can also lead to these equations.
Cite
@article{arxiv.hep-th/9211014,
title = {Self-duality and the Supersymmetric KdV Hierarchy},
author = {A. Das and C. A. P. Galvao},
journal= {arXiv preprint arXiv:hep-th/9211014},
year = {2015}
}
Comments
10 pages