4d/5d Correspondence for the Black Hole Potential and its Critical Points

Details 4d/5d Correspondence for the Black Hole Potential and its Critical Points 4d/5d Correspondence for the Black Hole Potential and its Critical Points

2007-07-06

arxiv.org/abs/0707.0964v3

Class.Quant.Grav.24:5651-5666,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+24 pages; v2: references added, minor improvements; v3: further minor improvements and clarifications

Scientific paper

10.1088/0264-9381/24/22/023

We express the d=4, N=2 black hole effective potential for cubic holomorphic F functions and generic dyonic charges in terms of d=5 real special geometry data. The 4d critical points are computed from the 5d ones, and their relation is elucidated. For symmetric spaces, we identify the BPS and non-BPS classes of attractors and the respective entropies. These are related by simple formulae, interpolating between four and five dimensions, depending on the volume modulus and on the 4d magnetic (or electric) charges, and holding true also for generic field configurations and for non-symmetric cubic geometries.

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