### Abstract

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 attractor solutions with non-vanishing Bekenstein–Hawking entropy are discussed. They correspond to three (inequivalent) classes of orbits of the charge vector, which sits in the relevant symplectic representation R_{V} of the U-duality group. Other than the 1/2-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The complete classification of the U-duality orbits, as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon), is also reviewed. Finally, we consider the analogous classification for N ≥ 3-extended, d = 4 ungauged supergravities, in which also the 1/N -BPS attractors yield a related moduli space.

Original language | English (US) |
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Title of host publication | The Attractor Mechanism - Proceedings of the INFN-Laboratori Nazionali di Frascati School 2007 |

Editors | Stefano Bellucci |

Publisher | Springer Science and Business Media, LLC |

Pages | 1-30 |

Number of pages | 30 |

ISBN (Print) | 9783642107351 |

DOIs | |

State | Published - Jan 1 2010 |

Event | 3rd School on Attractor Mechanisms, SAM 2007 - Frascati, Italy Duration: Jun 18 2007 → Jun 22 2007 |

### Publication series

Name | Springer Proceedings in Physics |
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Volume | 134 |

ISSN (Print) | 0930-8989 |

ISSN (Electronic) | 1867-4941 |

### Other

Other | 3rd School on Attractor Mechanisms, SAM 2007 |
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Country | Italy |

City | Frascati |

Period | 6/18/07 → 6/22/07 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*The Attractor Mechanism - Proceedings of the INFN-Laboratori Nazionali di Frascati School 2007*(pp. 1-30). (Springer Proceedings in Physics; Vol. 134). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-642-10736-8_1

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*The Attractor Mechanism - Proceedings of the INFN-Laboratori Nazionali di Frascati School 2007.*Springer Proceedings in Physics, vol. 134, Springer Science and Business Media, LLC, pp. 1-30, 3rd School on Attractor Mechanisms, SAM 2007, Frascati, Italy, 6/18/07. https://doi.org/10.1007/978-3-642-10736-8_1

**SAM lectures on extremal black holes in d = 4 extended supergravity.** / Bellucci, Stefano; Ferrara, Sergio; Günaydin, Murat; Marrani, Alessio.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - SAM lectures on extremal black holes in d = 4 extended supergravity

AU - Bellucci, Stefano

AU - Ferrara, Sergio

AU - Günaydin, Murat

AU - Marrani, Alessio

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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 attractor solutions with non-vanishing Bekenstein–Hawking entropy are discussed. They correspond to three (inequivalent) classes of orbits of the charge vector, which sits in the relevant symplectic representation RV of the U-duality group. Other than the 1/2-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The complete classification of the U-duality orbits, as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon), is also reviewed. Finally, we consider the analogous classification for N ≥ 3-extended, d = 4 ungauged supergravities, in which also the 1/N -BPS attractors yield a related moduli space.

AB - 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 attractor solutions with non-vanishing Bekenstein–Hawking entropy are discussed. They correspond to three (inequivalent) classes of orbits of the charge vector, which sits in the relevant symplectic representation RV of the U-duality group. Other than the 1/2-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The complete classification of the U-duality orbits, as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon), is also reviewed. Finally, we consider the analogous classification for N ≥ 3-extended, d = 4 ungauged supergravities, in which also the 1/N -BPS attractors yield a related moduli space.

UR - http://www.scopus.com/inward/record.url?scp=84975693216&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975693216&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-10736-8_1

DO - 10.1007/978-3-642-10736-8_1

M3 - Conference contribution

AN - SCOPUS:84975693216

SN - 9783642107351

T3 - Springer Proceedings in Physics

SP - 1

EP - 30

BT - The Attractor Mechanism - Proceedings of the INFN-Laboratori Nazionali di Frascati School 2007

A2 - Bellucci, Stefano

PB - Springer Science and Business Media, LLC

ER -