Abstract
We consider four-dimensional N = 2 supergravity coupled to vector- and hypermultiplets, where abelian isometries of the quaternionic Kähler hypermultiplet scalar manifold are gauged. Using the recipe given by Meessen and Ortín in arXiv:1204.0493, we analytically construct a supersymmetric black hole solution for the case of just one vector multiplet with prepotential \( \mathrm{\mathcal{F}}=-i{\chi}^0{\chi}^1 \), and the universal hypermultiplet. This solution has a running dilaton, and it interpolates between AdS2 × H2 at the horizon and a hyperscaling-violating type geometry at infinity, conformal to AdS2 × H2. It carries two magnetic charges that are completely fixed in terms of the parameters that appear in the Killing vector used for the gauging.
In the second part of the paper, we extend the work of Bellucci et al. on black hole attractors in gauged supergravity to the case where also hypermultiplets are present. The attractors are shown to be governed by an effective potential V eff, which is extremized on the horizon by all the scalar fields of the theory. Moreover, the entropy is given by the critical value of V eff. In the limit of vanishing scalar potential, V eff reduces (up to a prefactor) to the usual black hole potential.
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References
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective Holographic Theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity, JHEP 01 (2012) 094 [arXiv:1105.1162] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [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].
N. Halmagyi, M. Petrini and A. Zaffaroni, BPS black holes in AdS 4 from M-theory, JHEP 08 (2013) 124 [arXiv:1305.0730] [INSPIRE].
K. Hristov, H. Looyestijn and S. Vandoren, BPS black holes in N = 2 D = 4 gauged supergravities, JHEP 08 (2010) 103 [arXiv:1005.3650] [INSPIRE].
M. Gutperle and W.A. Sabra, A supersymmetric solution in N = 2 gauged supergravity with the universal hypermultiplet, Phys. Lett. B 511 (2001) 311 [hep-th/0104044] [INSPIRE].
H. Erbin and N. Halmagyi, Abelian hypermultiplet gaugings and BPS vacua in N = 2 supergravity, JHEP 05 (2015) 122 [arXiv:1409.6310] [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, Non-Relativistic Solutions of N = 2 Gauged Supergravity, JHEP 08 (2011) 041 [arXiv:1102.5740] [INSPIRE].
D. Cassani and A.F. Faedo, Constructing Lifshitz solutions from AdS, JHEP 05 (2011) 013 [arXiv:1102.5344] [INSPIRE].
S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [INSPIRE].
A. Strominger, Macroscopic entropy of N = 2 extremal black holes, Phys. Lett. B 383 (1996) 39 [hep-th/9602111] [INSPIRE].
S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev. D 54 (1996) 1514 [hep-th/9602136] [INSPIRE].
S. Ferrara and R. Kallosh, Universality of supersymmetric attractors, Phys. Rev. D 54 (1996) 1525 [hep-th/9603090] [INSPIRE].
S. Ferrara, G.W. Gibbons and R. Kallosh, Black holes and critical points in moduli space, Nucl. Phys. B 500 (1997) 75 [hep-th/9702103] [INSPIRE].
J.F. Morales and H. Samtleben, Entropy function and attractors for AdS black holes, JHEP 10 (2006) 074 [hep-th/0608044] [INSPIRE].
S. Bellucci, S. Ferrara, A. Marrani and A. Yeranyan, D = 4 Black Hole Attractors in N = 2 Supergravity with Fayet-Iliopoulos Terms, Phys. Rev. D 77 (2008) 085027 [arXiv:0802.0141] [INSPIRE].
M. Huebscher, P. Meessen, T. Ortín and S. Vaula, Supersymmetric N = 2 Einstein-Yang-Mills monopoles and covariant attractors, Phys. Rev. D 78 (2008) 065031 [arXiv:0712.1530] [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].
S. Kachru, R. Kallosh and M. Shmakova, Generalized Attractor Points in Gauged Supergravity, Phys. Rev. D 84 (2011) 046003 [arXiv:1104.2884] [INSPIRE].
J. Bellorín and T. Ortín, All the supersymmetric configurations of N = 4, D = 4 supergravity, Nucl. Phys. B 726 (2005) 171 [hep-th/0506056] [INSPIRE].
S. Cecotti, S. Ferrara and L. Girardello, Geometry of Type II Superstrings and the Moduli of Superconformal Field Theories, Int. J. Mod. Phys. A 4 (1989) 2475 [INSPIRE].
L. Huijse, S. Sachdev and B. Swingle, Hidden Fermi surfaces in compressible states of gauge-gravity duality, Phys. Rev. B 85 (2012) 035121 [arXiv:1112.0573] [INSPIRE].
K.C.K. Chan, J.H. Horne and R.B. Mann, Charged dilaton black holes with unusual asymptotics, Nucl. Phys. B 447 (1995) 441 [gr-qc/9502042] [INSPIRE].
D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS 4 vacua, JHEP 11 (2012) 173 [arXiv:1208.1262] [INSPIRE].
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Chimento, S., Klemm, D. & Petri, N. Supersymmetric black holes and attractors in gauged supergravity with hypermultiplets. J. High Energ. Phys. 2015, 150 (2015). https://doi.org/10.1007/JHEP06(2015)150
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DOI: https://doi.org/10.1007/JHEP06(2015)150