Attractors at weak gravity

Details Attractors at weak gravity Attractors at weak gravity

1998-12-07

arxiv.org/abs/hep-th/9812049v2

Nucl.Phys. B547 (1999) 201-220

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex, no figures, references added

Scientific paper

10.1016/S0550-3213(99)00096-6

We study the attractor mechanism in low energy effective D=4, N=2 Yang-Mills theory weakly coupled to gravity, obtained from the effective action of type IIB string theory compactified on a Calabi-Yau manifold. Using special K\"{a}hler geometry, the general form of the leading gravitational correction is derived, and from this the attractor equations in the weak gravity limit. The effective Newton constant turns out to be spacetime-dependent due to QFT loop and nonperturbative effects. We discuss some properties of the attractor solutions, which are gravitationally corrected dyons, and their relation with the BPS spectrum of quantum Yang-Mills theory. Along the way, we obtain a satisfying description of Strominger's massless black holes, moving at the speed of light, free of pathologies encountered in some earlier proposals.

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