Small N=2 Extremal Black Holes in Special Geometry

Abstract

We provide an intrinsic classification of the large and small orbits for N=2, 4D extremal black holes on symmetric spaces which does not depend on the duality frame used for the charges or on the special coordinates. A coordinate independent formula for the fake superpotential W, which (at infinity) represents the black hole ADM mass, is given explicitly in terms of invariants of the N=2 special geometry.

14 pages

References in corpus (7)

• Charge Orbits of Symmetric Special Geometries and Attractors
• First Order Description of Black Holes in Moduli Space
• Almost BPS black holes
• Decoupling Supergravity from the Superstring
• First-order flow equations for extremal and non-extremal black holes
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
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• Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
• Black hole solutions to the $F_4$-model and their orbits (I)
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
• Exceptional Reductions
• Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
• Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
• Topics in Cubic Special Geometry
• Black holes as generalised Toda molecules
• A Simple Derivation of Supersymmetric Extremal Black Hole Attractors
• Multiple Single-Centered Attractors
• Small Black Hole Constituents and Horizontal Symmetry
• Real weights, bound states and duality orbits
• Magic Coset Decompositions
• Multi-Centered Invariants, Plethysm and Grassmannians
• Intersecting Black Attractors in 8D N=1 Supergravity