Black string first order flow in N = 2, d = 5 abelian gauged supergravity

Dietmar Klemm, Nicolò Petri, Marco Rabbiosi

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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 languageEnglish
Article number106
JournalJournal of High Energy Physics
Issue number1
StatePublished - 1 Jan 2017
Externally publishedYes


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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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