Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
High Energy Physics - Theory
2011-01-17 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We classify super-symmetric solutions of the minimal gauged Euclidean supergravity in four dimensions. The solutions with anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the Toda equation and more general three-dimensional Einstein--Weyl structures. Euclidean Kastor--Traschen metrics are also characterised by the existence of a certain super covariantly constant spinor.
Keywords
Cite
@article{arxiv.1006.5149,
title = {Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions},
author = {Maciej Dunajski and Jan Gutowski and Wafic Sabra and Paul Tod},
journal= {arXiv preprint arXiv:1006.5149},
year = {2011}
}
Comments
Final version - to appear in CQG. Small changes in the manuscript and the title