Attractors at weak gravity

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 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.

21 pages, Latex, no figures, references added

References in corpus (20)

• Gauge Theory Correlators from Non-Critical String Theory
• Arithmetic and Attractors
• Open string - string junction transitions
• BPS Bounds for Worldvolume Branes
• The Shape of Branes Pulled by Strings
• Dyons in N=4 Supersymmetric Theories and Three-Pronged Strings
• Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
• Attractors and Arithmetic
• Geometric Realizations of BPS States in N=2 Theories
• String Junctions and BPS States in Seiberg-Witten Theory
• Classical M-Fivebrane Dynamics and Quantum N=2 Yang-Mills
• The rigid limit in Special Kahler geometry; From K3-fibrations to Special Riemann surfaces: a detailed case study
• Moving Moduli, Calabi-Yau Phase Transitions and Massless BPS Configurations in Type II Superstrings
• Gauge Fields and M-Fivebrane Dynamics
• Monopole Dynamics from the M-Fivebrane
• Classical and Quantum Analysis of Repulsive Singularities in Four Dimensional Extended Supergravity
• Stable Non-BPS Dyons in N=2 SYM
• Higher Derivative Terms from Threebranes in F Theory
• Special geometry of Calabi-Yau compactifications near a rigid limit
• Brane Dynamics and Four-Dimensional Quantum Field Theory

Cited by in corpus (20)

• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Wall-Crossing from Boltzmann Black Hole Halos
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Finiteness and the Swampland
• Supergravity Instantons for N=2 Hypermultiplets
• Four ways across the wall
• The 0-brane action in a general D=4 supergravity background
• Small Black Hole Explosions
• BPS Soliton Solutions of a D3-brane Action
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• Rigid Limit in N=2 Supergravity and Weak-Gravity Conjecture
• Black Holes as Probes of Moduli Space Geometry
• Excision of Singularities by Stringy Domain Walls
• The Kahler Cone as Cosmic Censor
• Quiver indices and Abelianization from Jeffrey-Kirwan residues
• The many symmetries of Calabi-Yau compactifications
• BPS Dendroscopy on Local $P^2$
• Threebranes in F-theory
• Gauge Theories on the Coulomb branch
• Towards the Core of the Quantum Monopole