English

N=2 Extremal Black Holes

High Energy Physics - Theory 2009-09-17 v3 General Relativity and Quantum Cosmology

Abstract

It is shown that extremal magnetic black hole solutions of N = 2 supergravity coupled to vector multiplets XΛX^\Lambda with a generic holomorphic prepotential F(XΛ)F(X^\Lambda) can be described as supersymmetric solitons which interpolate between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case that the ratios of the XΛX^\Lambda are real, and it is seen that the logarithm of the conformal factor of the spatial metric equals the Kahler potential on the vector multiplet moduli space. Several examples are discussed in detail.

Keywords

Cite

@article{arxiv.hep-th/9508072,
  title  = {N=2 Extremal Black Holes},
  author = {Sergio Ferrara and Renata Kallosh and Andrew Strominger},
  journal= {arXiv preprint arXiv:hep-th/9508072},
  year   = {2009}
}

Comments

10 pages, minor corrections

R2 v1 2026-07-22T15:55:55.867Z