Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang

Abstract

In this article we complete the classification of the supersymmetric solutions of N=2 D=4 ungauged supergravity coupled to an arbitrary number of vector- and hypermultiplets. We find that in the timelike case the hypermultiplets cause the constant-time hypersurfaces to be curved and have su(2) holonomy identical to that of the hyperscalar manifold. The solutions have the same structure as without hypermultiplets but now depend on functions which are harmonic in the curved 3-dimensional space. We discuss an example obtained from a hyper-less solution via the c-map. In the null case we find that the hyperscalars can only depend on the null coordinate and the solutions are essentially those of the hyper-less case.

arXiv comment27 pages, latex2e

References in corpus (16)

• Supergravity description of field theories on curved manifolds and a no go theorem
• Supersymmetry and Attractors
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Supergravity flows and D-brane stability
• Exact solutions for supersymmetric stationary black hole composites
• Magnetic Monopoles in String Theory
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• A Heterotic Multimonopole Solution
• Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
• New Black Hole, String and Membrane Solutions of the Four-Dimensional Heterotic String
• A note on simple applications of the Killing Spinor Identities
• All the supersymmetric configurations of N=4,d=4 supergravity
• Supersymmetry, attractors and cosmic censorship
• Killing Spinor Identities
• Exact SU(2)*U(1) Stringy Black Holes
• Toward the classification of BPS solutions of N=2, d=5 gauged supergravity with matter couplings

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• Four-dimensional geometric supergravity and electromagnetic duality: a brief guide for mathematicians
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