The Hesse potential, the c-map and black hole solutions

Abstract

We present a new formulation of the local c-map, which makes use of the real formulation of special Kahler geometry and the associated Hesse potential. As an application we use the temporal version of the c-map to derive the black hole attractor equations from geometric properties of the scalar manifold, and we construct various stationary solutions for four-dimensional vector multiplets by lifting instanton solutions of the time-reduced theory.

76 pages. Second revised version: substantial extension. Further references added and discussion extended. Construction of axion-free non-BPS extremal solutions for a class of non-homogeneous target spaces added. Accepted for publication in JHEP

References in corpus (13)

• String loop corrected hypermultiplet moduli spaces
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
• D-instantons and twistors
• First-order flow equations for extremal and non-extremal black holes
• Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
• Supersymmetry, attractors and cosmic censorship
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Gravitational multi-NUT solitons, Komar masses and charges
• Instantons, black holes and harmonic functions
• Real symplectic formulation of local special geometry
• Developments in special geometry
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• A comment on no-force conditions for black holes and branes
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• Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
• Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair conjecture
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