Abstract
The dark matter seem to be an inevitable ingredient of the total matter configuration in the Universe and the knowledge how the dark matter affects the properties of superconductors is of vital importance for the experiments aimed at its direct detection. The homogeneous magnetic field acting perpendicularly to the surface of (2+1) dimensional s-wave holographic superconductor in the theory with dark matter sector has been modeled by the additional U(1)-gauge field representing dark matter and coupled to the Maxwell one. As expected the free energy for the vortex configuration turns out to be negative. Importantly its value is lower in the presence of dark matter sector. This feature can explain why in the Early Universe first the web of dark matter appeared and next on these gratings the ordinary matter forming cluster of galaxies has formed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
J.P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796] [INSPIRE].
S. Sachdev, What can gauge-gravity duality teach us about condensed matter physics?, Ann. Rev. Condensed Matter Phys. 3 (2012) 9 [arXiv:1108.1197] [INSPIRE].
A.G. Green, An Introduction to Gauge Gravity Duality and Its Application in Condensed Matter, Contemp. Phys. 54 (2013) 33 [arXiv:1304.5908] [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].
J.-W. Chen, Y.-J. Kao, D. Maity, W.-Y. Wen and C.-P. Yeh, Towards A Holographic Model of D-Wave Superconductors, Phys. Rev. D 81 (2010) 106008 [arXiv:1003.2991] [INSPIRE].
F. Benini, C.P. Herzog, R. Rahman and A. Yarom, Gauge gravity duality for d-wave superconductors: prospects and challenges, JHEP 11 (2010) 137 [arXiv:1007.1981] [INSPIRE].
M. Rogatko and K.I. Wysokiński, Remarks on the Hall conductivity in chiral superconductors: weak vs. strong coupling approach, Acta Phys. Polon. A 126 (2014) A9.
H.-B. Zeng, Z.-Y. Fan and H.-S. Zong, d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet, Phys. Rev. D 82 (2010) 126008 [arXiv:1007.4151] [INSPIRE].
S.S. Gubser and S.S. Pufu, The gravity dual of a p-wave superconductor, JHEP 11 (2008) 033 [arXiv:0805.2960] [INSPIRE].
G.T. Horowitz and B. Way, Complete Phase Diagrams for a Holographic Superconductor/Insulator System, JHEP 11 (2010) 011 [arXiv:1007.3714] [INSPIRE].
P. Basu, J. He, A. Mukherjee and H.-H. Shieh, Hard-gapped Holographic Superconductors, Phys. Lett. B 689 (2010) 45 [arXiv:0911.4999] [INSPIRE].
F. Aprile, D. Rodriguez-Gomez and J.G. Russo, p-wave Holographic Superconductors and five-dimensional gauged Supergravity, JHEP 01 (2011) 056 [arXiv:1011.2172] [INSPIRE].
S. Gangopadhyay and D. Roychowdhury, Analytic study of properties of holographic p-wave superconductors, JHEP 08 (2012) 104 [arXiv:1207.5605] [INSPIRE].
M. Ammon, J. Erdmenger, V. Grass, P. Kerner and A. O’Bannon, On Holographic p-wave Superfluids with Back-reaction, Phys. Lett. B 686 (2010) 192 [arXiv:0912.3515] [INSPIRE].
S. Liu and Y.-Q. Wang, Holographic model of hybrid and coexisting s-wave and p-wave Josephson junction, Eur. Phys. J. C 75 (2015) 493 [arXiv:1504.06918] [INSPIRE].
R.-G. Cai, L. Li, H.-Q. Zhang and Y.-L. Zhang, Magnetic Field Effect on the Phase Transition in AdS Soliton Spacetime, Phys. Rev. D 84 (2011) 126008 [arXiv:1109.5885] [INSPIRE].
R.-G. Cai, H.-F. Li and H.-Q. Zhang, Analytical Studies on Holographic Insulator/Superconductor Phase Transitions, Phys. Rev. D 83 (2011) 126007 [arXiv:1103.5568] [INSPIRE].
A. Akhavan and M. Alishahiha, P-Wave Holographic Insulator/Superconductor Phase Transition, Phys. Rev. D 83 (2011) 086003 [arXiv:1011.6158] [INSPIRE].
A. Amoretti, A. Braggio, N. Maggiore, N. Magnoli and D. Musso, Coexistence of two vector order parameters: a holographic model for ferromagnetic superconductivity, JHEP 01 (2014) 054 [arXiv:1309.5093] [INSPIRE].
G. Siopsis and J. Therrien, Analytic Calculation of Properties of Holographic Superconductors, JHEP 05 (2010) 013 [arXiv:1003.4275] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic helical superconductors, JHEP 12 (2011) 091 [arXiv:1109.3866] [INSPIRE].
A. Donos and J.P. Gauntlett, Helical superconducting black holes, Phys. Rev. Lett. 108 (2012) 211601 [arXiv:1203.0533] [INSPIRE].
R.-G. Cai, L. Li, L.-F. Li and R.-Q. Yang, Introduction to Holographic Superconductor Models, Sci. China Phys. Mech. Astron. 58 (2015) 060401 [arXiv:1502.00437] [INSPIRE].
Q. Pan, J. Jing and B. Wang, Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity, JHEP 11 (2011) 088 [arXiv:1105.6153] [INSPIRE].
H.-F. Li, R.-G. Cai and H.-Q. Zhang, Analytical Studies on Holographic Superconductors in Gauss-Bonnet Gravity, JHEP 04 (2011) 028 [arXiv:1103.2833] [INSPIRE].
R. Gregory, S. Kanno and J. Soda, Holographic Superconductors with Higher Curvature Corrections, JHEP 10 (2009) 010 [arXiv:0907.3203] [INSPIRE].
R.-G. Cai, Z.-Y. Nie and H.-Q. Zhang, Holographic p-wave superconductors from Gauss-Bonnet gravity, Phys. Rev. D 82 (2010) 066007 [arXiv:1007.3321] [INSPIRE].
Q. Pan, B. Wang, E. Papantonopoulos, J. Oliveira and A.B. Pavan, Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity, Phys. Rev. D 81 (2010) 106007 [arXiv:0912.2475] [INSPIRE].
R.-G. Cai, Z.-Y. Nie and H.-Q. Zhang, Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction, Phys. Rev. D 83 (2011) 066013 [arXiv:1012.5559] [INSPIRE].
L. Zhang, Q. Pan and J. Jing, Holographic p-wave superconductor models with Weyl corrections, Phys. Lett. B 743 (2015) 104 [arXiv:1502.05635] [INSPIRE].
P. Chaturvedi and G. Sengupta, p-wave Holographic Superconductors from Born-Infeld Black Holes, JHEP 04 (2015) 001 [arXiv:1501.06998] [INSPIRE].
Z. Zhao, Q. Pan and J. Jing, Holographic insulator/superconductor phase transition with Weyl corrections, Phys. Lett. B 719 (2013) 440 [arXiv:1212.3062] [INSPIRE].
J. Jing, Q. Pan and S. Chen, Holographic Superconductor/Insulator Transition with logarithmic electromagnetic field in Gauss-Bonnet gravity, Phys. Lett. B 716 (2012) 385 [arXiv:1209.0893] [INSPIRE].
G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity, Phys. Rev. D 59 (1998) 026005 [hep-th/9808079] [INSPIRE].
T. Nishioka, S. Ryu and T. Takayanagi, Holographic Superconductor/Insulator Transition at Zero Temperature, JHEP 03 (2010) 131 [arXiv:0911.0962] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
T. Albash and C.V. Johnson, A Holographic Superconductor in an External Magnetic Field, JHEP 09 (2008) 121 [arXiv:0804.3466] [INSPIRE].
X.-H. Ge, B. Wang, S.-F. Wu and G.-H. Yang, Analytical study on holographic superconductors in external magnetic field, JHEP 08 (2010) 108 [arXiv:1002.4901] [INSPIRE].
X.-H. Ge and H.-Q. Leng, Analytical calculation on critical magnetic field in holographic superconductors with backreaction, Prog. Theor. Phys. 128 (2012) 1211 [arXiv:1105.4333] [INSPIRE].
S.-l. Cui and Z. Xue, Critical magnetic field in a holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics, Phys. Rev. D 88 (2013) 107501 [arXiv:1306.2013] [INSPIRE].
D. Roychowdhury, Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections, Phys. Rev. D 86 (2012) 106009 [arXiv:1211.0904] [INSPIRE].
T. Albash and C.V. Johnson, Vortex and Droplet Engineering in Holographic Superconductors, Phys. Rev. D 80 (2009) 126009 [arXiv:0906.1795] [INSPIRE].
D. Roychowdhury, Holographic droplets in p-wave insulator/superconductor transition, JHEP 05 (2013) 162 [arXiv:1304.6171] [INSPIRE].
R.-G. Cai, S. He, L. Li and L.-F. Li, A Holographic Study on Vector Condensate Induced by a Magnetic Field, JHEP 12 (2013) 036 [arXiv:1309.2098] [INSPIRE].
K. Maeda and T. Okamura, Characteristic length of an AdS/CFT superconductor, Phys. Rev. D 78 (2008) 106006 [arXiv:0809.3079] [INSPIRE].
H.-B. Zeng, Z.-Y. Fan and H.-S. Zong, Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor, Phys. Rev. D 81 (2010) 106001 [arXiv:0912.4928] [INSPIRE].
H.-B. Zeng, Z.-Y. Fan and H.-S. Zong, Characteristic length of a Holographic Superconductor with d-wave gap, Phys. Rev. D 82 (2010) 126014 [arXiv:1006.5483] [INSPIRE].
D. Roychowdhury, Chern-Simons vortices and holography, JHEP 10 (2014) 18 [arXiv:1407.3464] [INSPIRE].
D. Roychowdhury, Towards holographic duals for anomalous supercurrents, arXiv:1403.0085 [INSPIRE].
K. Maeda, M. Natsuume and T. Okamura, Vortex lattice for a holographic superconductor, Phys. Rev. D 81 (2010) 026002 [arXiv:0910.4475] [INSPIRE].
K. Maeda and T. Okamura, Vortex flow for a holographic superconductor, Phys. Rev. D 83 (2011) 066004 [arXiv:1012.0202] [INSPIRE].
T. Shiromizu, S. Ohashi and R. Suzuki, A no-go on strictly stationary spacetimes in four/higher dimensions, Phys. Rev. D 86 (2012) 064041 [arXiv:1207.7250] [INSPIRE].
B. Bakon and M. Rogatko, Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant, Phys. Rev. D 87 (2013) 084065 [arXiv:1305.1401] [INSPIRE].
M. Regis, J.-Q. Xia, A. Cuoco, E. Branchini, N. Fornengo and M. Viel, Particle dark matter searches outside the Local Group, Phys. Rev. Lett. 114 (2015) 241301 [arXiv:1503.05922] [INSPIRE].
Y. Ali-Haimoud, J. Chluba and M. Kamionkowski, Constraints on Dark Matter Interactions with Standard Model Particles from Cosmic Microwave Background Spectral Distortions, Phys. Rev. Lett. 115 (2015) 071304 [arXiv:1506.04745] [INSPIRE].
J. Bramante and T. Linden, Detecting Dark Matter with Imploding Pulsars in the Galactic Center, Phys. Rev. Lett. 113 (2014) 191301 [arXiv:1405.1031] [INSPIRE].
J. Fuller and C. Ott, Dark Matter-induced Collapse of Neutron Stars: A Possible Link Between Fast Radio Bursts and the Missing Pulsar Problem, Mon. Not. Roy. Astron. Soc. 450 (2015) L71 [arXiv:1412.6119] [INSPIRE].
I. Lopes and J. Silk, A particle dark matter footprint on the first generation of stars, Astrophys. J. 786 (2014) 25 [arXiv:1404.3909] [INSPIRE].
A. Nakonieczna, M. Rogatko and R. Moderski, Dynamical Collapse of Charged Scalar Field in Phantom Gravity, Phys. Rev. D 86 (2012) 044043 [arXiv:1209.1203] [INSPIRE].
A. Nakonieczna, M. Rogatko and L. Nakonieczny, Dark sector impact on gravitational collapse of an electrically charged scalar field, JHEP 11 (2015) 012 [arXiv:1508.02657] [INSPIRE].
A. Geringer-Sameth et al., Indication of Gamma-ray Emission from the Newly Discovered Dwarf Galaxy Reticulum II, Phys. Rev. Lett. 115 (2015) 081101 [arXiv:1503.02320] [INSPIRE].
K.K. Boddy and J. Kumar, Indirect Detection of Dark Matter Using MeV-Range Gamma-Ray Telescopes, Phys. Rev. D 92 (2015) 023533 [arXiv:1504.04024] [INSPIRE].
K. Van Tilburg, N. Leefer, L. Bougas and D. Budker, Search for ultralight scalar dark matter with atomic spectroscopy, Phys. Rev. Lett. 115 (2015) 011802 [arXiv:1503.06886] [INSPIRE].
P. Jean et al., Early SPI/INTEGRAL measurements of 511 keV line emission from the 4th quadrant of the Galaxy, Astron. Astrophys. 407 (2003) L55 [astro-ph/0309484] [INSPIRE].
J. Chang et al., An excess of cosmic ray electrons at energies of 300-800 GeV, Nature 456 (2008) 362 [INSPIRE].
PAMELA collaboration, O. Adriani et al., An anomalous positron abundance in cosmic rays with energies 1.5-100 GeV, Nature 458 (2009) 607 [arXiv:0810.4995] [INSPIRE].
Muon g-2 collaboration, G.W. Bennett et al., Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
D. Harvey, R. Massey, T. Kitching, A. Taylor and E. Tittley, The non-gravitational interactions of dark matter in colliding galaxy clusters, Science 347 (2015) 1462 [arXiv:1503.07675] [INSPIRE].
R. Massey et al., The behaviour of dark matter associated with four bright cluster galaxies in the 10 kpc core of Abell 3827, Mon. Not. Roy. Astron. Soc. 449 (2015) 3393 [arXiv:1504.03388] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for a Dark Photon in e + e − Collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
L. Nakonieczny and M. Rogatko, Analytic study on backreacting holographic superconductors with dark matter sector, Phys. Rev. D 90 (2014) 106004 [arXiv:1411.0798] [INSPIRE].
L. Nakonieczny, M. Rogatko and K.I. Wysokinski, Magnetic field in holographic superconductor with dark matter sector, Phys. Rev. D 91 (2015) 046007 [arXiv:1502.02550] [INSPIRE].
L. Nakonieczny, M. Rogatko and K.I. Wysokiński, Analytic investigation of holographic phase transitions influenced by dark matter sector, Phys. Rev. D 92 (2015) 066008 [arXiv:1509.01769] [INSPIRE].
M. Rogatko and K.I. Wysokinski, P-wave holographic superconductor/insulator phase transitions affected by dark matter sector, arXiv:1508.02869 [INSPIRE].
Y. Peng, Holographic entanglement entropy in superconductor phase transition with dark matter sector, Phys. Lett. B 750 (2015) 420 [arXiv:1507.07399] [INSPIRE].
T. Vachaspati and A. Achucarro, Semilocal cosmic strings, Phys. Rev. D 44 (1991) 3067 [INSPIRE].
A. Achucarro and T. Vachaspati, Semilocal and electroweak strings, Phys. Rept. 327 (2000) 347 [hep-ph/9904229] [INSPIRE].
B. Hartmann and F. Arbabzadah, Cosmic strings interacting with dark strings, JHEP 07 (2009) 068 [arXiv:0904.4591] [INSPIRE].
Y. Brihaye and B. Hartmann, The effect of dark strings on semilocal strings, Phys. Rev. D 80 (2009) 123502 [arXiv:0907.3233] [INSPIRE].
Y. Brihaye and B. Hartmann, Holographic superfluid/fluid/insulator phase transitions in 2+1 dimensions, Phys. Rev. D 83 (2011) 126008 [arXiv:1101.5708] [INSPIRE].
H. Davoudiasl, H.-S. Lee and W.J. Marciano, ’Dark’ Z implications for Parity Violation, Rare Meson Decays and Higgs Physics, Phys. Rev. D 85 (2012) 115019 [arXiv:1203.2947] [INSPIRE].
H. Davoudiasl, H.-S. Lee, I. Lewis and W.J. Marciano, Higgs Decays as a Window into the Dark Sector, Phys. Rev. D 88 (2013) 015022 [arXiv:1304.4935] [INSPIRE].
K. Freese, M. Lisanti and C. Savage, Colloquium: Annual modulation of dark matter, Rev. Mod. Phys. 85 (2013) 1561 [arXiv:1209.3339] [INSPIRE].
O. Domenech, M. Montull, A. Pomarol, A. Salvio and P.J. Silva, Emergent Gauge Fields in Holographic Superconductors, JHEP 08 (2010) 033 [arXiv:1005.1776] [INSPIRE].
M. Montull, O. Pujolàs, A. Salvio and P.J. Silva, Magnetic Response in the Holographic Insulator/Superconductor Transition, JHEP 04 (2012) 135 [arXiv:1202.0006] [INSPIRE].
Ó.J.C. Dias, G.T. Horowitz, N. Iqbal and J.E. Santos, Vortices in holographic superfluids and superconductors as conformal defects, JHEP 04 (2014) 096 [arXiv:1311.3673] [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: 1510.06137
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
Rogatko, M., Wysokinski, K.I. Holographic vortices in the presence of dark matter sector. J. High Energ. Phys. 2015, 1–25 (2015). https://doi.org/10.1007/JHEP12(2015)041
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/JHEP12(2015)041