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.

arXiv comment17 pages, LaTeX file

References in corpus (29)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Black Hole Entropy in M-Theory
• Black Hole Attractors and the Topological String
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Holes and Critical Points in Moduli Space
• Universality of Sypersymmetric Attractors
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Exact Counting of Black Hole Microstates
• Corrections to macroscopic supersymmetric black-hole entropy
• Non-Supersymmetric Attractors
• Symmetry structure of special geometries
• Precision Counting of Small Black Holes
• Non-Supersymmetric Attractors in String Theory
• The Non-BPS Black Hole Attractor Equation
• New Attractors
• Microscopic Entropy of N=2 Extremal Black Holes
• Compactification with Flux on K3 and Tori
• Black Hole Microstates and Attractor Without Supersymmetry
• Black hole partition functions and duality
• Charge Orbits of Symmetric Special Geometries and Attractors
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• On N=8 attractors
• New Attractors and Area Codes
• Stationary BPS Solutions in N=2 Supergravity with R^2-Interactions
• K3 x T^2/Z_2 orientifolds with fluxes, open string moduli and critical points
• 4-D gauged supergravity analysis of Type IIB vacua on $K3\times T^2/Z_2$

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