Anti-self-dual Maxwell solutions on hyperk\"ahler manifold and N=2 supersymmetric Ashtekar gravity
General Relativity and Quantum Cosmology
2009-10-31 v1 High Energy Physics - Theory
Abstract
Anti-self-dual (ASD) Maxwell solutions on 4-dimensional hyperk\"ahler manifolds are constructed. The N=2 supersymmetric half-flat equations are derived in the context of the Ashtekar formulation of N=2 supergravity. These equations show that the ASD Maxwell solutions have a direct connection with the solutions of the reduced N=2 supersymmetric ASD Yang-Mills equations with a special choice of gauge group. Two examples of the Maxwell solutions are presented.
Keywords
Cite
@article{arxiv.gr-qc/9809083,
title = {Anti-self-dual Maxwell solutions on hyperk\"ahler manifold and N=2 supersymmetric Ashtekar gravity},
author = {T. Ootsuka and S. Miyagi and Y. Yasui and S. Zeze},
journal= {arXiv preprint arXiv:gr-qc/9809083},
year = {2009}
}
Comments
9 pages