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

Abstract

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.

17 pages, LaTeX file

References in corpus (3)

• Black Hole Microstates and Attractor Without Supersymmetry
• Charge Orbits of Symmetric Special Geometries and Attractors
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)

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