Small extremal black holes in special geometry

2010/06/10 by Anna Ceresole, S. Ferrara, Sergio Ferrara +1 · 30 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Cosmology and Gravitation Theories #Duality (order theory) #Geometry #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Superpotential #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.08.053

published in Physics Letters B 693(3), 366-372 (Elsevier BV) · 14 pages

arxiv created 2010/06/10 · openalex publication_date 2010/08/27 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Perturbative and non-perturbative N=8 supergravity
• Observations on arithmetic invariants and U-duality orbits in \mathcal N = 8 supergravity
• Symmetry structure of special geometries
• The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras
• Nonsupersymmetric attractors
• First-order flow equations for extremal and non-extremal black holes
• Unity of superstring dualities
• Universality of the superpotential for d=4 extremal black holes

Cited by

• Intersecting black attractors in 8D N=1 supergravity