AdS5 black strings in the stu model of FI-gauged N = 2 supergravity
- 32 Downloads
We analytically construct asymptotically AdS5 black string solutions starting from the four-dimensional domain wall black hole of . It is shown that its uplift gives a black string in d = 5 minimal gauged supergravity, with momentum along the string. Applying instead the residual symmetries of N = 2, d = 4 Fayet-Iliopoulos-gauged super-gravity discovered in  to the domain wall seed leads, after uplifting, to a dyonic black string that interpolates between AdS5 and AdS3 × H2 at the horizon. A Kaluza-Klein reduction of the latter along an angular Killing direction ϕ followed by a duality transformation yields, after going back to five dimensions, a black string with both momentum along the string and rotation along ϕ. This is the first instance of using solution-generating techniques in gauged supergravity to add rotation to a given seed. These solutions all have constant scalar fields. As was shown in , the construction of supersymmetric static magnetic black strings in the FI-gauged stu model amounts to solving the SO(2, 1) spinning top equations, which descend from an inhomogeneous version of the Nahm equations. We are able to solve these in a particular case, which leads to a generalization of the Maldacena-Nuñez solution.
KeywordsBlack Holes Black Holes in String Theory Supergravity Models
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press (2012) [INSPIRE].
- W. Nahm, The algebraic geometry of multimonopoles, in proceedings of the 11th International Colloquium on Group Theoretical Methods in Physics (GROUP 11), Istanbul, Turkey, 23–28 August 1982, Lect. Notes Phys. 180 (1983) 456 [INSPIRE].