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Supersymmetric Mechanics - Vol. 3 pp 1–77Cite as

Extremal Black Hole and Flux Vacua Attractors

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Part of the book series: Lecture Notes in Physics ((LNP,volume 755))

Abstract

These lectures provide a pedagogical, introductory review of the so-called Attractor Mechanism (AM) at work in two different 4-dimensional frameworks: extremal black holes in N=2 supergravity and N=1 flux compactifications. In the first case, AM determines the stabilization of scalars at the black hole event horizon purely in terms of the electric and magnetic charges, whereas in the second context, the AM is responsible for the stabilization of the universal axion-dilaton and of the (complex structure) moduli purely in terms of the RR and NSNS fluxes. Two equivalent approaches to AM, namely the so-called “criticality conditions” and “New Attractor” ones, are analyzed in detail in both frameworks, whose analogies and differences are discussed. Also, a stringy analysis of both frameworks (relying on Hodge-decomposition techniques) is performed, respectively, considering Type IIB compactified on CY3 and its orientifolded version, associated with CY3× T2Z2. Finally, recent results on the U-duality orbits and moduli spaces of non-BPS extremal black hole attractors in 3⩽N⩽ 8, d=4 supergravities are reported.

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Authors and Affiliations

  1. INFN - Laboratori Nazionali di Frascati, Via Enrico Fermi 40, 00044 Frascati, Italy

    S. Bellucci & S. Ferrara

  2. Physics Department, Theory Unit, CERN, Geneva 23, CH 1211, Switzerland

    S. Ferrara

  3. Department of Physics and Astronomy, University of California, Los Angeles, CA, USA

    S. Ferrara

  4. Physics Department, Stanford University, Stanford, CA 94305-4060, USA

    R. Kallosh

  5. Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Via Panisperna 89A, 00184 Roma, Italy

    A. Marrani

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  1. S. Bellucci
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  2. S. Ferrara
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  3. R. Kallosh
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  4. A. Marrani
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Bellucci, S., Ferrara, S., Kallosh, R., Marrani, A. (2008). Extremal Black Hole and Flux Vacua Attractors. In: Supersymmetric Mechanics - Vol. 3. Lecture Notes in Physics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79523-0_3

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