Supersymmetry in Mathematics and Physics
UCLA Los Angeles, USA 2010
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13 Result(s)
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Chapter and Conference Paper
On the Classification of Two Center Orbits for Magical Black Holes
We report on recent work [4] concerning the determination of the two-centered generic charge orbits of magical \(\mathcal{N} = 2\) and ...
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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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Book
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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...
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Further Developments
We devoted these pedagogical, introductory-level lectures to the dynamics governing the (equilibrium) thermodynamics of extremal singular interpolating soliton solutions in N-extended, d-d SUGRAs.
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Black Holes and Critical Points in Moduli Space
As we have seen, the d = 4, N = 2 ungauged SUGRAs have two types of geometries: the s-t geometry and the moduli space geometry. In this section, mainly following the seminal paper [55] of Ferrara, Gibbons, and Ka...
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Chapter
N > 2-extended Supergravity, U-duality and the Orbits of Exceptional Lie Groups
In previous sections we considered the N = 2, d = 4 Maxwell–Einstein supergravity theory (MESGT) coupled to nV Abelian vector supermultiplets, and we have seen explicitly how the attractor mechanism works in the ...
