AdS5 black strings in the stu model of FI-gauged N = 2 supergravity
Abstract We analytically construct asymptotically AdS5 black string solutions starting from the four-dimensional domain wall black hole of [1]. 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 symmetr...
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SpringerOpen
2018-10-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)080 |
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author | Matteo Azzola Dietmar Klemm Marco Rabbiosi |
author_facet | Matteo Azzola Dietmar Klemm Marco Rabbiosi |
author_sort | Matteo Azzola |
collection | DOAJ |
description | Abstract We analytically construct asymptotically AdS5 black string solutions starting from the four-dimensional domain wall black hole of [1]. 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 [2] 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 [3], 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. |
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spelling | doaj.art-b2b3ecc23f09407b8fa00c6d8180b4802022-12-21T17:43:32ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181011810.1007/JHEP10(2018)080AdS5 black strings in the stu model of FI-gauged N = 2 supergravityMatteo Azzola0Dietmar Klemm1Marco Rabbiosi2Dipartimento di Fisica, Università di Milano, and INFN, Sezione di MilanoDipartimento di Fisica, Università di Milano, and INFN, Sezione di MilanoDipartimento di Fisica, Università di Milano, and INFN, Sezione di MilanoAbstract We analytically construct asymptotically AdS5 black string solutions starting from the four-dimensional domain wall black hole of [1]. 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 [2] 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 [3], 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.http://link.springer.com/article/10.1007/JHEP10(2018)080Black HolesBlack Holes in String TheorySupergravity Models |
spellingShingle | Matteo Azzola Dietmar Klemm Marco Rabbiosi AdS5 black strings in the stu model of FI-gauged N = 2 supergravity Journal of High Energy Physics Black Holes Black Holes in String Theory Supergravity Models |
title | AdS5 black strings in the stu model of FI-gauged N = 2 supergravity |
title_full | AdS5 black strings in the stu model of FI-gauged N = 2 supergravity |
title_fullStr | AdS5 black strings in the stu model of FI-gauged N = 2 supergravity |
title_full_unstemmed | AdS5 black strings in the stu model of FI-gauged N = 2 supergravity |
title_short | AdS5 black strings in the stu model of FI-gauged N = 2 supergravity |
title_sort | ads5 black strings in the stu model of fi gauged n 2 supergravity |
topic | Black Holes Black Holes in String Theory Supergravity Models |
url | http://link.springer.com/article/10.1007/JHEP10(2018)080 |
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