## Abstract

We discuss the issue of how to include magnetic charges in the AdS(4) superalgebra osp(4 vertical bar 2). It is shown that the usual way of introducing a pseudoscalar central charge on the right hand side of the basic anticommutator does not work, because this breaks SO(2, 3) covariance. We propose a way out by promoting the magnetic charge to a vector charge, which amounts to enlarge osp(4 vertical bar 2) to the superconformal algebra su(2, 2 vertical bar 1). The conditions for 1/4, 1/2 and 3/4 BPS states are then analyzed. These states form the boundary of the convex cone associated with the Jordan algebra of 4x4 complex hermitian matrices. An Inonu-Wigner contraction of the constructed superalgebra yields a known extension of the Poincare superalgebra containing electric and magnetic 0-brane charges as well as string-and space-filling 3-brane charges. As an example, we show how some supersymmetric AdS(4) black holes fit into the classification scheme of BPS states.

Original language | English |
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Article number | 005 |

Number of pages | 15 |

Journal | Journal of High Energy Physics |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec-2010 |

## Keywords

- Extended Supersymmetry
- AdS-CFT Correspondence
- Black Holes
- BLACK-HOLES
- SUPERSYMMETRY