Abstract
We describe a simple method of extending AdS5 black string solutions of 5d gauged supergravity in a supersymmetric way by addition of Wilson lines along a circular direction in space. When this direction is chosen along the string, and due to the specific form of 5d supergravity that features Chern-Simons terms, the existence of magnetic charges automatically generates conserved electric charges in a 5d analogue of the Witten effect. Therefore we find a rather generic, model-independent way of adding electric charges to already existing solutions with no backreaction from the geometry or breaking of any symmetry. We use this method to explicitly write down more general versions of the Benini-Bobev black strings [1, 2] and comment on the implications for the dual field theory and the similarities with generalizations of the Cacciatori-Klemm black holes [3] in AdS4.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].
F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP 06 (2013) 005 [arXiv:1302.4451] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
I. Bena, Splitting hairs of the three charge black hole, Phys. Rev. D 70 (2004) 105018 [hep-th/0404073] [INSPIRE].
B. de Wit and S. Katmadas, Near-Horizon Analysis of D = 5 BPS Black Holes and Rings, JHEP 02 (2010) 056 [arXiv:0910.4907] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, General concentric black rings, Phys. Rev. D 71 (2005) 045002 [hep-th/0408122] [INSPIRE].
D. Klemm and W.A. Sabra, Supersymmetry of black strings in D = 5 gauged supergravities, Phys. Rev. D 62 (2000) 024003 [hep-th/0001131] [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
S. Cucu, H. Lü and J.F. Vazquez-Poritz, A supersymmetric and smooth compactification of M-theory to AdS5, Phys. Lett. B 568 (2003) 261 [hep-th/0303211] [INSPIRE].
S. Cucu, H. Lü and J.F. Vazquez-Poritz, Interpolating from AdS D−2 × S 2 to AdS D , Nucl. Phys. B 677 (2004) 181 [hep-th/0304022] [INSPIRE].
M. Naka, Various wrapped branes from gauged supergravities, hep-th/0206141 [INSPIRE].
J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, New supersymmetric AdS3 solutions, Phys. Rev. D 74 (2006) 106007 [hep-th/0608055] [INSPIRE].
A. Almuhairi and J. Polchinski, Magnetic AdS × R 2 : Supersymmetry and stability, arXiv:1108.1213 [INSPIRE].
K. Hristov and A. Rota, Attractors, black objects and holographic RG flows in 5d maximal gauged supergravities, JHEP 03 (2014) 057 [arXiv:1312.3275] [INSPIRE].
E. Witten, Dyons of Charge eθ/2π, Phys. Lett. B 86 (1979) 283 [INSPIRE].
S. Barisch-Dick, G. Lopes Cardoso, M. Haack and S. Nampuri, Extremal black brane solutions in five-dimensional gauged supergravity, JHEP 02 (2013) 103 [arXiv:1211.0832] [INSPIRE].
K. Hristov, Dimensional reduction of BPS attractors in AdS gauged supergravities, JHEP 12 (2014) 066 [arXiv:1409.8504] [INSPIRE].
I. Bah, C. Beem, N. Bobev and B. Wecht, Four-Dimensional SCFTs from M5-Branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].
M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE].
G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP 03 (2011) 037 [arXiv:1012.3756] [INSPIRE].
K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4 with spherical symmetry, JHEP 04 (2011) 047 [arXiv:1012.4314] [INSPIRE].
N. Halmagyi, BPS Black Hole Horizons in N = 2 Gauged Supergravity, JHEP 02 (2014) 051 [arXiv:1308.1439] [INSPIRE].
N. Halmagyi and T. Vanel, AdS Black Holes from Duality in Gauged Supergravity, JHEP 04 (2014) 130 [arXiv:1312.5430] [INSPIRE].
S. Katmadas, Static BPS black holes in U(1) gauged supergravity, JHEP 09 (2014) 027 [arXiv:1405.4901] [INSPIRE].
N. Halmagyi, Static BPS Black Holes in AdS4 with General Dyonic Charges, arXiv:1408.2831 [INSPIRE].
G. Bossard and S. Katmadas, Duality covariant multi-centre black hole systems, JHEP 08 (2013) 007 [arXiv:1304.6582] [INSPIRE].
B. Bates and F. Denef, Exact solutions for supersymmetric stationary black hole composites, JHEP 11 (2011) 127 [hep-th/0304094] [INSPIRE].
J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M-theory, JHEP 12 (1997) 002 [hep-th/9711053] [INSPIRE].
P. Karndumri and E.O Colgáin, Supergravity dual of c-extremization, Phys. Rev. D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE].
P. Karndumri and E.O. Colgáin, 3D Supergravity from wrapped D3-branes, JHEP 10 (2013) 094 [arXiv:1307.2086] [INSPIRE].
R.K. Gupta and A. Sen, AdS3 /CFT2 to AdS2 /CFT1, JHEP 04 (2009) 034 [arXiv:0806.0053] [INSPIRE].
K. Hristov, A. Tomasiello and A. Zaffaroni, Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography, JHEP 05 (2013) 057 [arXiv:1302.5228] [INSPIRE].
Open Access
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1411.2432
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hristov, K., Katmadas, S. Wilson lines for AdS5 black strings. J. High Energ. Phys. 2015, 9 (2015). https://doi.org/10.1007/JHEP02(2015)009
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2015)009