Small N=2 Extremal Black Holes in Special Geometry

TL;DR

This paper classifies extremal black hole orbits in N=2, 4D supergravity on symmetric spaces, providing a coordinate-independent formula for the fake superpotential related to black hole mass.

Contribution

It offers a novel intrinsic classification of black hole orbits and an explicit, invariant formula for the fake superpotential in N=2 special geometry.

Findings

Classified large and small black hole orbits independently of duality frames.

Derived a coordinate-invariant expression for the fake superpotential W.

Connected the superpotential to black hole ADM mass at infinity.

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.