Abstract
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 Kähler 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 space-time-dependent due to QFT loop and non-perturbative 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 earlier proposals.
Highlights
From the point of view of physics, the central issue in string theory is what can be extracted from it at “low” energies in four dimensions
Interesting black hole models with still enough supersymmetry to make their analysis manageable can be found as BPS solutions of the low energy D = 4, N = 2 supergravity theory obtained from IIB strings compactified on a Calabi-Yau manifold
In view of the above discussion, it seems reasonable to conjecture, in the spirit of [6], that a given charge appears in the BPS spectrum of the quantum Yang-Mills theory under consideration, if and only if there exists a solution of the corresponding weak gravity attractor equations
Summary
From the point of view of physics, the central issue in string theory is what can be extracted from it at “low” energies in four dimensions. Interesting black hole models with still enough supersymmetry to make their analysis manageable can be found as BPS solutions of the low energy D = 4, N = 2 supergravity theory obtained from IIB strings compactified on a Calabi-Yau manifold. These black holes have the remarkable property of being attractors for the scalars in the vectormultiplets: at the horizon, the scalars always have the same value, only determined by the charge of the black hole, and insensitive to the variations of the scalar values at infinity. Black holes at conifold points in moduli space have been considered before in [6], [22] and in particular in [23]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
