Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality

Abstract

We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three classes of solutions, depending on the sign of the Maxwell field strength and cosmological constant terms in the Einstein equations which arise from the integrability conditions of the Killing spinor equation. The first class is a Euclidean version of a Lorentzian supersymmetric solution found in arXiv:0804.0009, hep-th/0406238 . The second class is constructed from a three dimensional base space which admits a hyper-CR Einstein-Weyl structure. The third class is the Euclidean Kastor-Traschen solution.

15 pages, latex. Minor alterations to section 4

References in corpus (19)

• Cosmological Multi-Black Hole Solutions
• The spinorial geometry of supersymmetric backgrounds
• The spinorial geometry of supersymmetric IIB backgrounds
• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
• More on BPS solutions of N=2, D=4 gauged supergravity
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Supersymmetric Gödel and warped black holes in string theory
• HKT Geometry and de Sitter Supergravity
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Heterotic Black Horizons
• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
• Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• Solutions of Minimal Four Dimensional de Sitter Supergravity
• Gravitational Instantons and Euclidean Supersymmetry
• Null Half-Supersymmetric Solutions in Five-Dimensional Supergravity
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry

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