AdS5 black strings in the stu model of FI-gauged N = 2 supergravity

Matteo Azzola (Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, Milano, I-20133, Italy) ; Dietmar Klemm (Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, Milano, I-20133, Italy) ; Marco Rabbiosi (Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, Milano, I-20133, Italy)

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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      "surname": "Klemm", 
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      "value": "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 \u00d7 H2 at the horizon. A Kaluza-Klein reduction of the latter along an angular Killing direction \u03d5 followed by a duality transformation yields, after going back to five dimensions, a black string with both momentum along the string and rotation along \u03d5. 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-Nu\u00f1ez solution."
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Published on:
12 October 2018
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2018)
Issue 10
Pages 1-18
DOI:
https://doi.org/10.1007/JHEP10(2018)080
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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