Abstract
We study the effective potentials for various probe branes surrounding AdS4 black holes with massive halos in consistent truncations of M-theory on the Sasaki-Einstein7 manifolds Q111 and M111. These probes are either M2 branes extended in spacetime or “particle-like” probes such as internally wrapped M2 branes and, upon reduction to type IIA String theory, D6 branes corresponding to baryon operators in the dual Chern-Simons theory. We find both global and local minima of the potential outside the horizon, indicating the existence of stable and metastable multicenter AdS black holes in the extreme mass ratio regime, at fixed temperature and charges. For the planar case, we also find an instability towards nucleation of spacetime-filling M2 branes. With this analysis, we address some open questions on the holographic description of glassy phases of matter.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.D. Majumdar, A class of exact solutions of Einstein’s field equations, Phys. Rev. 72 (1947) 390 [INSPIRE].
A. Papapetrou, Einstein’s theory of gravitation and flat space, Proc. Roy. Irish Acad. A 52 (1948) 11.
J.B. Hartle and S.W. Hawking, Solutions of the Einstein-Maxwell equations with many black holes, Commun. Math. Phys. 26 (1972) 87 [INSPIRE].
F. Denef, Supergravity flows and D-brane stability, JHEP 08 (2000) 050 [hep-th/0005049] [INSPIRE].
B. Bates and F. Denef, Exact solutions for supersymmetric stationary black hole composites, JHEP 11 (2011) 127 [hep-th/0304094] [INSPIRE].
F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos, JHEP 11 (2011) 129 [hep-th/0702146] [INSPIRE].
M. Kontsevich and Y. Soibelman, Stability structures, motivic Donaldson-Thomas invariants and cluster transformations, arXiv:0811.2435 [INSPIRE].
K. Goldstein and S. Katmadas, Almost BPS black holes, JHEP 05 (2009) 058 [arXiv:0812.4183] [INSPIRE].
I. Bena, G. Dall’Agata, S. Giusto, C. Ruef and N.P. Warner, Non-BPS black rings and black holes in Taub-NUT, JHEP 06 (2009) 015 [arXiv:0902.4526] [INSPIRE].
D. Anninos, T. Anous, J. Barandes, F. Denef and B. Gaasbeek, Hot halos and galactic glasses, JHEP 01 (2012) 003 [arXiv:1108.5821] [INSPIRE].
D. Anninos, T. Anous, F. Denef, G. Konstantinidis and E. Shaghoulian, Supergoop dynamics, JHEP 03 (2013) 081 [arXiv:1205.1060] [INSPIRE].
D. Kastor and J.H. Traschen, Cosmological multi-black hole solutions, Phys. Rev. D 47 (1993) 5370 [hep-th/9212035] [INSPIRE].
W.A. Sabra, Euclidean supergravity and multi-centered solutions, Phys. Lett. B 767 (2017) 253 [arXiv:1701.00114] [INSPIRE].
G.T. Horowitz, N. Iqbal, J.E. Santos and B. Way, Hovering black holes from charged defects, Class. Quant. Grav. 32 (2015) 105001 [arXiv:1412.1830] [INSPIRE].
G.T. Horowitz, J.E. Santos and C. Toldo, Deforming black holes in AdS, JHEP 11 (2018) 146 [arXiv:1809.04081] [INSPIRE].
S. Chimento and D. Klemm, Multicentered black holes with a negative cosmological constant, Phys. Rev. D 89 (2014) 024037 [arXiv:1311.6937] [INSPIRE].
M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black rings in (anti)-de Sitter space, JHEP 11 (2008) 011 [arXiv:0806.1954] [INSPIRE].
D. Anninos, T. Anous, F. Denef and L. Peeters, Holographic vitrification, JHEP 04 (2015) 027 [arXiv:1309.0146] [INSPIRE].
T. Damour, Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs (in French), Ph.D. thesis, Paris U., Paris, France (1979).
R.H. Price and K.S. Thorne, Membrane viewpoint on black holes: properties and evolution of the stretched horizon, Phys. Rev. D 33 (1986) 915 [INSPIRE].
N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808] [INSPIRE].
I. Bredberg, C. Keeler, V. Lysov and A. Strominger, Wilsonian approach to fluid/gravity duality, JHEP 03 (2011) 141 [arXiv:1006.1902] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [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].
F. Denef and S.A. Hartnoll, Landscape of superconducting membranes, Phys. Rev. D 79 (2009) 126008 [arXiv:0901.1160] [INSPIRE].
R. Monten and C. Toldo, Black holes with halos, Class. Quant. Grav. 35 (2018) 035001 [arXiv:1612.02399] [INSPIRE].
S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061] [INSPIRE].
I.R. Klebanov, S.S. Pufu and T. Tesileanu, Membranes with topological charge and AdS4/CFT3 correspondence, Phys. Rev. D 81 (2010) 125011 [arXiv:1004.0413] [INSPIRE].
D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua, JHEP 11 (2012) 173 [arXiv:1208.1262] [INSPIRE].
D.L. Jafferis, Quantum corrections to N = 2 Chern-Simons theories with flavor and their AdS4 duals, JHEP 08 (2013) 046 [arXiv:0911.4324] [INSPIRE].
F. Benini, C. Closset and S. Cremonesi, Chiral flavors and M2-branes at toric CY4 singularities, JHEP 02 (2010) 036 [arXiv:0911.4127] [INSPIRE].
S. Franco, I.R. Klebanov and D. Rodriguez-Gomez, M2-branes on orbifolds of the cone over Q1,1,1, JHEP 08 (2009) 033 [arXiv:0903.3231] [INSPIRE].
J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676] [INSPIRE].
K. Galicki, A generalization of the momentum mapping construction for quaternionic Kähler manifolds, Commun. Math. Phys. 108 (1987) 117 [INSPIRE].
L. Andrianopoli et al., N = 2 supergravity and N = 2 super-Yang-Mills theory on general scalar manifolds: symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [INSPIRE].
L. Andrianopoli, M. Bertolini, A. Ceresole, R. D’Auria, S. Ferrara and P. Fré’, General matter coupled N = 2 supergravity, Nucl. Phys. B 476 (1996) 397 [hep-th/9603004] [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, BPS black holes in AdS4 from M-theory, JHEP 08 (2013) 124 [arXiv:1305.0730] [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].
H.B. Nielsen and P. Olesen, Vortex line models for dual strings, Nucl. Phys. B 61 (1973) 45 [INSPIRE].
J.P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796] [INSPIRE].
N. Bobev, A. Kundu, K. Pilch and N.P. Warner, Minimal holographic superconductors from maximal supergravity, JHEP 03 (2012) 064 [arXiv:1110.3454] [INSPIRE].
O. Henriksson, C. Hoyos and N. Jokela, Brane nucleation instabilities in non-AdS/non-CFT, JHEP 02 (2020) 007 [arXiv:1910.06348] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [arXiv:1106.2004] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Spatially modulated instabilities of magnetic black branes, JHEP 01 (2012) 061 [arXiv:1109.0471] [INSPIRE].
E. Witten, Search for a realistic Kaluza-Klein theory, Nucl. Phys. B 186 (1981) 412 [INSPIRE].
L. Castellani, L.J. Romans and N.P. Warner, A classification of compactifying solutions for d = 11 supergravity, Nucl. Phys. B 241 (1984) 429 [INSPIRE].
D. Fabbri, P. Fré, L. Gualtieri and P. Termonia, M theory on AdS4 × M111: the complete Osp(2|4) × SU(3) × SU(2) spectrum from harmonic analysis, Nucl. Phys. B 560 (1999) 617 [hep-th/9903036] [INSPIRE].
O. Bergman, Y. Tachikawa and G. Zafrir, Generalized symmetries and holography in ABJM-type theories, JHEP 07 (2020) 077 [arXiv:2004.05350] [INSPIRE].
M. Billò, S. Cacciatori, F. Denef, P. Fré, A. Van Proeyen and D. Zanon, The 0-brane action in a general D = 4 supergravity background, Class. Quant. Grav. 16 (1999) 2335 [hep-th/9902100] [INSPIRE].
C.T. Asplund, F. Denef and E. Dzienkowski, Massive quiver matrix models for massive charged particles in AdS, JHEP 01 (2016) 055 [arXiv:1510.04398] [INSPIRE].
M.J. Duff and J.T. Liu, Anti-de Sitter black holes in gauged N = 8 supergravity, Nucl. Phys. B 554 (1999) 237 [hep-th/9901149] [INSPIRE].
D.Z. Freedman and S.S. Pufu, The holography of F-maximization, JHEP 03 (2014) 135 [arXiv:1302.7310] [INSPIRE].
A. Cabo-Bizet, U. Kol, L.A. Pando Zayas, I. Papadimitriou and V. Rathee, Entropy functional and the holographic attractor mechanism, JHEP 05 (2018) 155 [arXiv:1712.01849] [INSPIRE].
N. Bobev, A.M. Charles and V.S. Min, Euclidean black saddles and AdS4 black holes, JHEP 10 (2020) 073 [arXiv:2006.01148] [INSPIRE].
D.P. Sorokin, V.I. Tkach and D.V. Volkov, On the relationship between compactified vacua of D = 11 and D = 10 supergravities, Phys. Lett. B 161 (1985) 301 [INSPIRE].
M. Petrini and A. Zaffaroni, N = 2 solutions of massive type IIA and their Chern-Simons duals, JHEP 09 (2009) 107 [arXiv:0904.4915] [INSPIRE].
I. Bena, B.D. Chowdhury, J. de Boer, S. El-Showk and M. Shigemori, Moulting black holes, JHEP 03 (2012) 094 [arXiv:1108.0411] [INSPIRE].
J. de Boer, F. Denef, S. El-Showk, I. Messamah and D. Van den Bleeken, Black hole bound states in AdS3 × S2, JHEP 11 (2008) 050 [arXiv:0802.2257] [INSPIRE].
H. Elvang and G.T. Horowitz, When black holes meet Kaluza-Klein bubbles, Phys. Rev. D 67 (2003) 044015 [hep-th/0210303] [INSPIRE].
F. Azzurli, N. Bobev, P.M. Crichigno, V.S. Min and A. Zaffaroni, A universal counting of black hole microstates in AdS4, JHEP 02 (2018) 054 [arXiv:1707.04257] [INSPIRE].
J. Hong, N.T. Macpherson and L.A. Pando Zayas, Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges, JHEP 11 (2019) 127 [arXiv:1908.08518] [INSPIRE].
S.M. Hosseini and A. Zaffaroni, Geometry of \( \mathcal{I} \)-extremization and black holes microstates, JHEP 07 (2019) 174 [arXiv:1904.04269] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, Charged rotating black holes in four-dimensional gauged and ungauged supergravities, Nucl. Phys. B 717 (2005) 246 [hep-th/0411045] [INSPIRE].
D.D.K. Chow and G. Compère, Dyonic AdS black holes in maximal gauged supergravity, Phys. Rev. D 89 (2014) 065003 [arXiv:1311.1204] [INSPIRE].
A. Gnecchi, K. Hristov, D. Klemm, C. Toldo and O. Vaughan, Rotating black holes in 4d gauged supergravity, JHEP 01 (2014) 127 [arXiv:1311.1795] [INSPIRE].
K. Hristov, S. Katmadas and C. Toldo, Rotating attractors and BPS black holes in AdS4, JHEP 01 (2019) 199 [arXiv:1811.00292] [INSPIRE].
K. Hristov, S. Katmadas and C. Toldo, Matter-coupled supersymmetric Kerr-Newman-AdS4 black holes, Phys. Rev. D 100 (2019) 066016 [arXiv:1907.05192] [INSPIRE].
O. Aharony, F. Benini, O. Mamroud and P. Milan, A gravity interpretation for the Bethe ansatz expansion of the N = 4 SYM index, Phys. Rev. D 104 (2021) 086026 [arXiv:2104.13932] [INSPIRE].
R. Gregory, P.C. Gustainis, D. Kubizňák, R.B. Mann and D. Wills, Vortex hair on AdS black holes, JHEP 11 (2014) 010 [arXiv:1405.6507] [INSPIRE].
I. Bena, K. Pilch and N.P. Warner, Brane-jet instabilities, JHEP 10 (2020) 091 [arXiv:2003.02851] [INSPIRE].
M. Suh, The non-supersymmetric AdS4 vacua from Sasaki-Einstein manifolds are brane-jet stable, arXiv:2110.14686 [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [INSPIRE].
K. Becker, M. Becker and J.H. Schwarz, String theory and M-theory: a modern introduction, Cambridge University Press, Cambridge, U.K. (2006).
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
N. Gutierrez, Y. Lozano and D. Rodriguez-Gomez, Charged particle-like branes in ABJM, JHEP 09 (2010) 101 [arXiv:1004.2826] [INSPIRE].
K. Hristov, C. Toldo and S. Vandoren, On BPS bounds in D = 4, N = 2 gauged supergravity, JHEP 12 (2011) 014 [arXiv:1110.2688] [INSPIRE].
A. Donos, J.P. Gauntlett and N. Kim, AdS solutions through transgression, JHEP 09 (2008) 021 [arXiv:0807.4375] [INSPIRE].
A. Donos and J.P. Gauntlett, Supersymmetric quantum criticality supported by baryonic charges, JHEP 10 (2012) 120 [arXiv:1208.1494] [INSPIRE].
H. Kim and N. Kim, Black holes with baryonic charge and \( \mathcal{I} \)-extremization, JHEP 11 (2019) 050 [arXiv:1904.05344] [INSPIRE].
H. Kim and N. Kim, Uplifting dyonic AdS4 black holes on seven-dimensional Sasaki-Einstein manifolds, JHEP 03 (2021) 108 [arXiv:2012.09757] [INSPIRE].
B. de Wit and H. Nicolai, The consistency of the S7 truncation in D = 11 supergravity, Nucl. Phys. B 281 (1987) 211 [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
K. Behrndt, D. Lüst and W.A. Sabra, Stationary solutions of N = 2 supergravity, Nucl. Phys. B 510 (1998) 264 [hep-th/9705169] [INSPIRE].
M. Cvetič and S.S. Gubser, Phases of R charged black holes, spinning branes and strongly coupled gauge theories, JHEP 04 (1999) 024 [hep-th/9902195] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4 with spherical symmetry, JHEP 04 (2011) 047 [arXiv:1012.4314] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2111.06879
Rights and permissions
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.
About this article
Cite this article
Monten, R., Toldo, C. On the search for multicenter AdS black holes from M-theory. J. High Energ. Phys. 2022, 9 (2022). https://doi.org/10.1007/JHEP02(2022)009
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2022)009