Dilaton Black Holes Near the Horizon

Abstract

Generic $U(1{)}^2$ 4-d black holes with unbroken $N=1$ supersymmetry are shown to tend to a Robinson-Bertotti type geometry with a linear dilaton and doubling of unbroken supersymmetries near the horizon. Purely magnetic dilatonic black holes, which have unbroken $N=2$ supersymmetry, behave near the horizon as a 2-d linear dilaton vacuum $\otimes S^2$. This geometry is invariant under 8 supersymmetries, i.e. half of the original $N=4$ supersymmetries are unbroken. The supersymmetric positivity bound, which requires the mass of the 4-d dilaton black holes to be greater than or equal to the central charge, corresponds to positivity of mass for a class of stringy 2-d black holes.

10 pages, SU-ITP-92-27

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• Supersymmetry as a Cosmic Censor
• Are Horned Particles the Climax of Hawking Evaporation?
• Dynamics of Extremal Black Holes
• Supersymmetric Black Holes
• S-Wave Scattering of Charged Fermions by a Magnetic Black Hole

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• Black branes on the linear dilaton background
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• Solutions for Neutral for Axi-Dilaton Gravity in 4-Dimensions
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• S-Duality and Cosmological Constant in String Theory
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• Accelerated Levi-Civita-Bertotti-Robinson Metric in D-Dimensions
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