Abstract
We use AdS/CFT holography to study how a strongly-coupled plasma polarizes when the geometry where it resides is not flat. We compute the linear-response polarization coefficients, which are directly related to the static two-point correlation function of the stress-energy tensor. In the gravitational dual description, these parameters correspond to the tidal deformation coefficients — the Love numbers — of a black brane. We also compute the coefficients of static electric polarization of the plasma.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Damour and A. Nagar, Relativistic tidal properties of neutron stars, Phys. Rev. D 80 (2009) 084035 [arXiv:0906.0096] [INSPIRE].
T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers, Phys. Rev. D 80 (2009) 084018 [arXiv:0906.1366] [INSPIRE].
E.E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors, Phys. Rev. D 77 (2008) 021502 [arXiv:0709.1915] [INSPIRE].
T. Hinderer, Tidal Love numbers of neutron stars, Astrophys. J. 677 (2008) 1216 [arXiv:0711.2420] [INSPIRE].
J. Lennon and P. McCartney, All you need is Love, Parlophone (1967).
A. Donos and S.A. Hartnoll, Interaction-driven localization in holography, Nature Phys. 9 (2013) 649 [arXiv:1212.2998] [INSPIRE].
A. Donos and J.P. Gauntlett, Novel metals and insulators from holography, JHEP 06 (2014) 007 [arXiv:1401.5077] [INSPIRE].
A. Donos, B. Goutéraux and E. Kiritsis, Holographic metals and insulators with helical symmetry, JHEP 09 (2014) 038 [arXiv:1406.6351] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Conformal field theories in d = 4 with a helical twist, Phys. Rev. D 91 (2015) 066003 [arXiv:1412.3446] [INSPIRE].
D. Marolf, M. Rangamani and T. Wiseman, Holographic thermal field theory on curved spacetimes, Class. Quant. Grav. 31 (2014) 063001 [arXiv:1312.0612] [INSPIRE].
P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72 (2005) 086009 [hep-th/0506184] [INSPIRE].
S. Bhattacharyya et al., Forced fluid dynamics from gravity, JHEP 02 (2009) 018 [arXiv:0806.0006] [INSPIRE].
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla and A. Sharma, Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions, JHEP 12 (2008) 116 [arXiv:0809.4272] [INSPIRE].
P. Chesler, A. Lucas and S. Sachdev, Conformal field theories in a periodic potential: results from holography and field theory, Phys. Rev. D 89 (2014) 026005 [arXiv:1308.0329] [INSPIRE].
M. Ammon and J. Erdmenger, Gauge/gravity duality: Foundations and applications, Cambridge University Press, Cambridge U.K. (2015).
R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238] [INSPIRE].
M.S. Costa, L. Greenspan, M. Oliveira, J. Penedones and J.E. Santos, Polarised black holes in AdS, Class. Quant. Grav. 33 (2016) 115011 [arXiv:1511.08505] [INSPIRE].
M.S. Costa, L. Greenspan, J. Penedones and J.E. Santos, Polarised black holes in ABJM, JHEP 06 (2017) 024 [arXiv:1702.04353] [INSPIRE].
C. Herdeiro and E. Radu, Anti-de-Sitter regular electric multipoles: towards Einstein-Maxwell-AdS solitons, Phys. Lett. B 749 (2015) 393 [arXiv:1507.04370] [INSPIRE].
C. Herdeiro and E. Radu, Einstein-Maxwell-Anti-de-Sitter spinning solitons, Phys. Lett. B 757 (2016) 268 [arXiv:1602.06990] [INSPIRE].
C.A. Herdeiro and E. Radu, Static Einstein-Maxwell black holes with no spatial isometries in AdS space, Phys. Rev. Lett. 117 (2016) 221102 [arXiv:1606.02302] [INSPIRE].
V. Balasubramanian and P. Kraus, A stress tensor for Anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].
B. Assel et al., The Casimir energy in curved space and its supersymmetric counterpart, JHEP 07 (2015) 043 [arXiv:1503.05537] [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: 1707.02777
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
Emparan, R., Fernández-Piqué, A. & Luna, R. Geometric polarization of plasmas and Love numbers of AdS black branes. J. High Energ. Phys. 2017, 150 (2017). https://doi.org/10.1007/JHEP09(2017)150
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2017)150