Abstract
We study stationary black brane solutions in the context of N = 2, U(1) gauged supergravity in five dimensions. Using the formalism of first-order flow equations, we construct examples of extremal black brane solutions that include Nernst branes, i.e. extremal black brane solutions with vanishing entropy density, as well as black branes with cylindrical horizon topology, whose entropy density can be computed from a Cardy formula of the dual CFT.
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J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS 4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [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 AdS 4 with spherical symmetry, JHEP 04 (2011) 047 [arXiv:1012.4314] [INSPIRE].
S. Kachru, R. Kallosh and M. Shmakova, Generalized Attractor Points in Gauged Supergravity, Phys. Rev. D 84 (2011) 046003 [arXiv:1104.2884] [INSPIRE].
S. Barisch, G.L. Cardoso, M. Haack, S. Nampuri and N.A. Obers, Nernst branes in gauged supergravity, JHEP 11 (2011) 090 [arXiv:1108.0296] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Magnetic and Electric AdS Solutions in String-and M-theory, Class. Quant. Grav. 29 (2012) 194006 [arXiv:1112.4195] [INSPIRE].
P. Meessen and T. Ortín, Supersymmetric solutions to gauged N = 2 D = 4 SUGRA: the full timelike shebang, Nucl. Phys. B 863 (2012) 65 [arXiv:1204.0493] [INSPIRE].
K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, Holography of charged dilaton black holes, JHEP 08 (2010) 078 [arXiv:0911.3586] [INSPIRE].
K. Goldstein, N. Iizuka, S. Kachru, S. Prakash, S.P. Trivedi, et al., Holography of Dyonic Dilaton Black Branes, JHEP 10 (2010) 027 [arXiv:1007.2490] [INSPIRE].
P. Berglund, J. Bhattacharyya and D. Mattingly, Charged dilatonic AdS black branes in arbitrary dimensions, JHEP 08 (2012) 042 [arXiv:1107.3096] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic Field Induced Quantum Criticality via new Asymptotically AdS 5 Solutions, Class. Quant. Grav. 27 (2010) 215022 [arXiv:1006.2573] [INSPIRE].
T. Faulkner, G.T. Horowitz and M.M. Roberts, Holographic quantum criticality from multi-trace deformations, JHEP 04 (2011) 051 [arXiv:1008.1581] [INSPIRE].
J. Erdmenger, V. Grass, P. Kerner and T.H. Ngo, Holographic superfluidity in imbalanced mixtures, JHEP 08 (2011) 037 [arXiv:1103.4145] [INSPIRE].
E. D’Hoker and P. Kraus, Quantum criticality via magnetic branes, arXiv:1208.1925 [INSPIRE].
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [INSPIRE].
J.B. Gutowski and H.S. Reall, Supersymmetric AdS 5 black holes, JHEP 02 (2004) 006 [hep-th/0401042] [INSPIRE].
H.K. Kunduri and J. Lucietti, Near-horizon geometries of supersymmetric AdS 5 black holes, JHEP 12 (2007) 015 [arXiv:0708.3695] [INSPIRE].
J. Grover, J.B. Gutowski and W. Sabra Null half-supersymmetric solutions in five-dimensional supergravity, JHEP 10 (2008) 103 [arXiv:0802.0231] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic brane solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
E. D’Hoker and P. Kraus, Charged Magnetic Brane Solutions in AdS 5 and the fate of the third law of thermodynamics, JHEP 03 (2010) 095 [arXiv:0911.4518] [INSPIRE].
A. Almuhairi, AdS 3 and AdS 2 Magnetic Brane Solutions, arXiv:1011.1266 [INSPIRE].
A. Almuhairi and J. Polchinski, Magnetic AdS × R 2 : Supersymmetry and stability, arXiv:1108.1213 [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic helical superconductors, JHEP 12 (2011) 091 [arXiv:1109.3866] [INSPIRE].
S. Bellucci, S. Ferrara, A. Shcherbakov and A. Yeranyan, Attractors and first order formalism in five dimensions revisited, Phys. Rev. D 83 (2011) 065003 [arXiv:1010.3516] [INSPIRE].
J. de Boer, M.C. Cheng, R. Dijkgraaf, J. Manschot and E. Verlinde, A Farey tail for attractor black holes, JHEP 11 (2006) 024 [hep-th/0608059] [INSPIRE].
K. Behrndt, M. Cvetič and W. Sabra, Nonextreme black holes of five-dimensional N = 2 AdS supergravity, Nucl. Phys. B 553 (1999) 317 [hep-th/9810227] [INSPIRE].
G.L. Cardoso and V. Grass, On five-dimensional non-extremal charged black holes and FRW cosmology, Nucl. Phys. B 803 (2008) 209 [arXiv:0803.2819] [INSPIRE].
M. Günaydin, G. Sierra and P. Townsend, Vanishing potentials in gauged N = 2 supergravity: an application of Jordan algebras, Phys. Lett. B 144 (1984) 41 [INSPIRE].
M. Günaydin, G. Sierra and P. Townsend, Gauging the D = 5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras, Nucl. Phys. B 253 (1985) 573 [INSPIRE].
G.L. Cardoso, J.M. Oberreuter and J. Perz, Entropy function for rotating extremal black holes in very special geometry, JHEP 05 (2007) 025 [hep-th/0701176] [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].
P. Kraus, Lectures on black holes and the AdS 3 /CF T 2 correspondence, Lect. Notes Phys. 755 (2008) 193 [hep-th/0609074] [INSPIRE].
S. Harrison, S. Kachru and H. Wang, Resolving Lifshitz horizons, arXiv:1202.6635 [INSPIRE].
B. de Wit, N = 2 symplectic reparametrizations in a chiral background, Fortsch. Phys. 44 (1996) 529 [hep-th/9603191] [INSPIRE].
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ArXiv ePrint: 1211.0832
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Barisch-Dick, S., Cardoso, G.L., Haack, M. et al. Extremal black brane solutions in five-dimensional gauged supergravity. J. High Energ. Phys. 2013, 103 (2013). https://doi.org/10.1007/JHEP02(2013)103
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DOI: https://doi.org/10.1007/JHEP02(2013)103