Superpotential from Black Holes

Abstract

BPS monopoles in N=2 SUSY theories may lead to monopole condensation and confinement. We have found that supersymmetric black holes with non-vanishing area of the horizon may stabilize the moduli in theories where the potential is proportional to the square of the graviphoton central charge. In particular, in known models of spontaneous breaking of N=2 to N=1 SUSY theories, the parameters of the electric and magnetic Fayet--Iliopoulos terms can be considered proportional to electric and magnetic charges of the dyonic black holes. Upon such identification the potential is found to be proportional to the square of the black hole mass. The fixed values of the moduli near the black hole horizon correspond exactly to the minimum of this potential. The value of the potential at the minimum is proportional to the black hole entropy.

10 pages, no figures

References in corpus (13)

• N=2 Extremal Black Holes
• Massless Black Holes and Conifolds in String Theory
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Universality of Sypersymmetric Attractors
• New Vacua for Type II String Theory
• Black Hole Condensation and the Unification of String Vacua
• Spontaneous Breaking of N=2 Global Supersymmetry
• Microscopic Entropy of N=2 Extremal Black Holes
• Spontaneous Breaking of N=2 to N=1 in Rigid and Local Supersymmetric Theories
• Stationary Axion/Dilaton Solutions and Supersymmetry
• Particle Growth and BPS Saturated States
• Supersymmetric Balance of Forces and Condensation of BPS States

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• Spontaneous N=2 --> N=1 local supersymmetry breaking with surviving local gauge group
• Freezing of Moduli by N=2 Dyons
• Flux vacua as supersymmetric attractors
• Black Hole Superpartners and Fixed Scalars
• Non-extreme Calabi-Yau Black Holes
• Colliding Axion-Dilaton Plane Waves from Black Holes
• Partial N=2 --> N=1 Local Supersymmetry Breaking and Solvable Lie Algebras