Supersymmetry in Mathematics and Physics
UCLA Los Angeles, USA 2010
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Chapter and Conference Paper
On Symmetries of Extremal Black Holes with One and Two Centers
After a brief introduction to the Attractor Mechanism, we review the appearance of groups of type \(E_{7}\) ...
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Article
Open AccessSuper-Ehlers in any dimension
We classify the enhanced helicity symmetry of the Ehlers group to extended supergravity theories in any dimension. The vanishing character of the pseudo-Riemannian cosets occurring in this analysis is explaine...
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Article
Open AccessDegeneration of groups of type E 7 and minimal coupling in supergravity
We study properties of D = 4 \( \mathcal{N} \geqslant {2} \) extended supergravities (and related compactifications of superstr...
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Article
Black holes and groups of type E 7
We report some results on the relation between extremal black holes in locally supersymmetric theories of gravity and groups of type E 7, appearing as generalized electric-magnetic duality symmetr...
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Article
Open AccessOn invariant structures of black hole charges
We study “minimal degree” complete bases of duality- and “horizontal”- invariant homogeneous polynomials in the flux representation of two-centered black hole solutions in two classes of D = 4 Einstein supergravi...
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Open AccessCreation of matter in the universe and groups of type E7
We relate the mechanism of matter creation in the universe after inflation to a simple and universal mathematical property of extended N > 1 supergravities and related compactifications of superstring theory. We ...
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Article
Open AccessSmall black hole constituents and horizontal symmetry
By exploiting the role of the horizontal symmetry \( S{L_h}\left( {2,\mathbb{R}} \right) \) , we extend the analysis and...
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Article
Open AccessTwo-centered magical charge orbits
We determine the two-centered generic charge orbits of magical \( \mathcal{N} = 2 \) and maximal
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Book
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Article
Open AccessMatrix norms, BPS bounds and marginal stability in \( \mathcal{N} = 8 \) supergravity
We study the conditions of marginal stability for two-center extremal black holes in \( \mathcal{N} \) -extended supergr...
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Article
Open AccessObservations on arithmetic invariants and U-duality orbits in \( \mathcal {N} \) = 8 supergravity
We establish a relation between time-like, light-like and space-like orbits of the non-compact E 7(7)( $\mathbb...
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Article
Open AccessA special road to AdS vacua
We apply the techniques of special Kähler geometry to investigate AdS4 vacua of general \( \mathcal{N} \) = 2 gauged ...
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Chapter and Conference Paper
SAM Lectures on Extremal Black Holes in d = 4 Extended Supergravity
We report on recent results in the study of extremal black hole attractors in N = 2, d = 4 ungauged Maxwell–Einstein supergravities. For homogeneous symmetric scalar manifolds, the three general classes of attrac...
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Book
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Chapter
Black Holes and Supergravity
These lectures deal with black holes (BHs) in different space–time (s-t) dimensions and their relation to supersymmetry (SUSY). On the same footing of monopoles, massless point-particles, charged massive parti...
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Chapter
Microscopic Description. The Calabi–Yau Black Holes
In this section we will briefly consider the issue of the microscopic, statistical interpretation of the BH entropy, in which string theory plays a crucial role. Critical superstring theory lives in 10 dimensi...
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Chapter
Attractors and Entropy
There exists an impressive coincidence between the laws of thermodynamics and the laws of BH mechanics. As it is well known, the first law of thermodynamics reads
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Chapter
Macroscopic Description. Higher Derivative Terms and Black Hole Entropy
In the previous section, we considered the microscopic description of N = 1 extremal BHs in N = 2, d = 4 SUGRA obtained by a compactification of 11-d M-theory on CY3×S1. In this section, we are going to reconside...
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Chapter
Attractor Mechanism in N = 2, d = 4 Maxwell—Einstein Supergravity
The multiplet content of a completely general N = 2, d = 4 supergravity (SUGRA) theory is the following (see, e.g., [34] and [35]):
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Chapter
Black Hole Thermodynamics and Geometry
In the previous section we have seen that, in the context of nV -fold, N = 2, d = 4 MESGT, the fundamental properties of 4-d extreme BHs may be described by the “BH effective potential” function V (z, z; p, q), a...
