Critical points of the Black-Hole potential for homogeneous special geometries

Details Critical points of the Black-Hole potential for homogeneous special geometries Critical points of the Black-Hole potential for homogeneous special geometries

2007-01-10

arxiv.org/abs/hep-th/0701090v1

JHEP 0703:097,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX file

Scientific paper

10.1088/1126-6708/2007/03/097

We extend the analysis of N=2 extremal Black-Hole attractor equations to the case of special geometries based on homogeneous coset spaces. For non-BPS critical points (with non vanishing central charge) the (Bekenstein-Hawking) entropy formula is the same as for symmetric spaces, namely four times the square of the central charge evaluated at the critical point. For non homogeneous geometries the deviation from this formula is given in terms of geometrical data of special geometry in presence of a background symplectic charge vector.

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