Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions

Abstract

We classify super-symmetric solutions of the minimal $N=2$ 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 $SU(\infty )$ 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.

Final version - to appear in CQG. Small changes in the manuscript and the title

References in corpus (10)

• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Duality between Electric and Magnetic Black Holes
• Cosmological Multi-Black Hole Solutions
• Cosmological production of charged black hole pairs
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• More on BPS solutions of N=2, D=4 gauged supergravity
• The Nuts and Bolts of Einstein-Maxwell Solutions
• HKT Geometry and de Sitter Supergravity
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Cosmological solutions from fake N=2 EYM supergravity

Cited by in corpus (21)

• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• The supersymmetric NUTs and bolts of holography
• Localization of the action in AdS/CFT
• Holographic renormalization and supersymmetry
• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
• Supersymmetry of the C-metric and the general Plebanski-Demianski solution
• Classification, geometry and applications of supersymmetric backgrounds
• An action principle for the Einstein-Weyl equations
• Euclidean N=2 Supergravity
• The Maxwell-Chern-Simons gravity and its cosmological implications
• Phantom Metrics With Killing Spinors
• Gravity duals of supersymmetric gauge theories on three-manifolds
• Euclidean Supergravity in Five Dimensions
• Semiclassical lukewarm black holes
• All extremal instantons in Einstein-Maxwell-dilaton-axion theory
• Real Killing Spinors in Neutral Signature
• Euclidean supersymmetric solutions with the self-dual Weyl tensor
• The Euclidean quantisation of Kerr-Newman-de Sitter black holes
• Euclidean Supergravity and Multi-Centered Solutions
• Harmonic forms on asymptotically AdS metrics
• Neutral Signature Gauged Supergravity Solutions