## Abstract

We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N = 2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then generalized to the case where also hyper-multiplets are present, and abelian symmetries of the quaternionic hyperscalar target space are gauged. We then use these results to derive the attractor equations for near-horizon geometries of extremal black strings, and solve them explicitely for the case where the constants appearing in the Chern-Simons term of the supergravity action satisfy an adjoint identity. This allows to compute in generality the central charge of the two-dimensional conformal field theory that describes the black strings in the infrared, in terms of the magnetic charges, the CY intersection numbers and the FI constants. Finally, we extend the r-map to gauged supergravity and use it to relate our flow equations to those in four dimensions.

Original language | English |
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Article number | 106 |

Journal | Journal of High Energy Physics |

Volume | 2017 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 2017 |

Externally published | Yes |

## Keywords

- AdS-CFT Correspondence
- Black Holes
- Black Holes in String Theory
- Supergravity Models

## ASJC Scopus subject areas

- Nuclear and High Energy Physics