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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Main Authors: Matteo Azzola, Dietmar Klemm, Marco Rabbiosi
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of High Energy Physics
Subjects:
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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AT dietmarklemm ads5blackstringsinthestumodeloffigaugedn2supergravity
AT marcorabbiosi ads5blackstringsinthestumodeloffigaugedn2supergravity