Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity

T. Ootsuka, S. Miyagi, Y. Yasui +1

Anti-self-dual (ASD) Maxwell solutions on 4-dimensional hyperkähler manifolds are constructed. The N=2 supersymmetric half-flat equations are derived in the context of the Ashtekar…