Attractors at weak gravity

TL;DR

This paper investigates the attractor mechanism within a low-energy N=2 supergravity framework derived from string theory, revealing how gravitational corrections influence dyon solutions and their connection to quantum Yang-Mills BPS states.

Contribution

It derives the form of gravitational corrections to the attractor equations in weak gravity, incorporating quantum effects and providing a new perspective on massless black holes.

Findings

Effective Newton constant is spacetime-dependent due to quantum effects.

Attractor solutions are gravitationally corrected dyons linked to BPS spectrum.

Massless black holes are described without earlier encountered pathologies.

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 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.