2018/03/31 by Matteo Azzola, Dietmar Klemm, Marco Rabbiosi
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1007/jhep10(2018)080
20 pages, uses jheppub.sty. v2: Refs. added. v3: Conclusions, some comments and further refs. added. Final version to appear in JHEP
arxiv created 2018/10/01 · arxiv updated 2018/11/14
We analytically construct asymptotically AdS5 black string solutions starting from the four-dimensional domain wall black hole of arXiv:0911.4926. 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 supergravity discovered in arXiv:1606.05160 to the domain wall seed leads, after uplifting, to a dyonic black string that interpolates between AdS5 and AdS3\timesH2 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 hep-th/0302218, 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.