# Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions - High Energy Physics - Theory

Abstract: We classify super-symmetric solutions of the minimal $N=2$ gauged Euclideansupergravity in four dimensions. The solutions with anti-self-dual Maxwellfield give rise to anti-self-dual Einstein metrics given in terms of solutionsto the $SU\infty$ Toda equation and more general three-dimensionalEinstein-Weyl structures. Euclidean Kastor-Traschen metrics are alsocharacterised by the existence of a certain super covariantly constant spinor.

Author: Maciej Dunajski, Jan Gutowski, Wafic Sabra, Paul Tod

Source: https://arxiv.org/