Moduli Spaces for Four- and Five- Dimensional Black Holes

Abstract

We propose a universal expression for the moduli metric of a class of four- and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in ten and eleven dimensions, the electrically charged black holes of N=2 D=5 and N=2 D=4 supergravities with any number of vector multiplets, and dyonic black holes of N=2 D=4 supergravity. The moduli metric of electrically charged N=2 D=4 black holes coupled to any number of vector multiplets is explicitly computed. We also investigate the superconformal symmetries of the black hole moduli spaces for small black hole separations.

44 pages, phyzzx.tex, minor corrections, some more references added

References in corpus (10)

• Gauge Theory and the Excision of Repulson Singularities
• Geometry of Hyper-Kähler Connections with Torsion
• Superconformal Multi-Black Hole Quantum Mechanics
• Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
• Supersymmetric Multiple Basin Attractors
• The Geometry of Supersymmetric Quantum Mechanics
• Moduli space metric for maximally-charged dilaton black holes
• Regular BPS black holes: macroscopic and microscopic description of the generating solution
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• New potentials for conformal mechanics
• Supersymmetric black hole solutions with $R^2$-interactions
• N=4 mechanics with diverse (4,4,0) multiplets: explicit examples of HKT, CKT, and OKT geometries
• Brane Potentials and Moduli Spaces
• Three Body Interactions, Angular Momentum and Black Hole Moduli Spaces
• Equation of state for a classical gas of BPS black holes
• The Moduli Space of CP^1 Stringy Cosmic Lumps
• On a gauge invariant description of soliton dynamics