2010/06/30 by Maciej Dunajski, Jan Gutowski, Wafic Sabra +1 · 24 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Euclidean geometry #Field (mathematics) #Field equation #Instanton #Supergravity #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/28/2/025007
published in Classical and Quantum Gravity 28(2), 025007 (IOP Publishing) · Final version - to appear in CQG. Small changes in the manuscript and the title
arxiv created 2010/11/30 · openalex publication_date 2010/12/22 · arxiv updated 2011/01/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We classify super-symmetric solutions of the minimal N = 2 gauged Euclidean supergravity in four dimensions. The solutions with an anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the SU (∞) Toda equation and more general three-dimensional Einstein–Weyl structures. Euclidean Kastor–Traschen metrics are also characterized by the existence of a certain supercovariantly constant spinor.