How to sit Maxwell and Higgs on the boundary of Anti-de Sitter

Document Type : Regular article

Author

Jiao Tong University Shanghai

Abstract

In the context of bottom-up holography, we demonstrate the power of mixed boundary conditions to promote the boundary gauge field to be dynamical. We provide two concrete applications of this idea. First, we consider a holographic dual for a strongly coupled plasma described by dissipative magnetohydrodynamics. Second, we reveal the expected features of the Higgs mechanism in a not counterfeit holographic superconductor.

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[1] K. Maeda, M. Natsuume and T. Okamura, ”On two pieces of folklore in the AdS/CFT duality”, Phys. Rev. D 82, 046002 (2010).
[2] M. Baggioli and B. Gout´eraux, ”Colloquium: Hydrodynamics and holography of charge density wave phases”, Rev. Mod. Phys. 95, 011001 (2023).
[3] E. Witten, ”Anti-de Sitter space and holography”, Adv. Theor. Math. Phys. 2, 253 (1998).
[4] E. Witten, ”SL(2, Z) action on three-dimensional conformal field theories with abelian symmetry”, 10.48550/ARXIV.HEP-TH/0307041 (2003).
[5] D. Marolf and S. F. Ross, ”Boundary Conditions and New Dualities: Vector Fields in AdS/CFT”, JHEP 11, 085 (2006).
[6] M. Montull, A. Pomarol and P. J. Silva, ”The Holographic Superconductor Vortex”, Phys. Rev. Lett. 103, 091601 (2009).
[7] O. Domenech, M. Montull, A. Pomarol, A. Salvio and P. J. Silva, ”Emergent Gauge Fields in Holographic Superconductors”, JHEP 08, 033 (2010).
[8] J. Hernandez and P. Kovtun, ”Relativistic magnetohydrodynamics”, JHEP 05, 001 (2017).
[9] S. Grozdanov and N. Poovuttikul, ”Generalised global symmetries in holography: magnetohy-drodynamic waves in a strongly interacting plasma”, JHEP 04, 141 (2019).
[10] O. DeWolfe and K. Higginbotham, ”Generalized symmetries and 2-groups via electromagnetic duality in AdS/CF T ”, Phys. Rev. D 103(2), 026011 (2021).
[11] S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, ”Building a Holographic Superconductor”, Phys.Rev.Lett. 101, 031601 (2008).
[12] M. Natsuume and T. Okamura, ”Holographic Meissner effect”, Phys. Rev. D 106(8), 086005 (2022).
[13] Y. Ahn, M. Baggioli, K.-B. Huh, H.-S. Jeong, K.-Y. Kim and Y.-W. Sun, ”Holography and magnetohydrodynamics with dynamical gauge fields”, JHEP 02, 012 (2023).
[14] M. Baggioli, V. V. Brazhkin, K. Trachenko and M. Vasin, ”Gapped momentum states”, Phys. Rept. 865, 1 (2020).
[15] H.-S. Jeong, M. Baggioli, K.-Y. Kim and Y.-W. Sun, ”Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor”, JHEP 2023, 206 (2023).
[16] D. Arean, M. Baggioli, S. Grieninger and K. Landsteiner, ”A holographic superfluid symphony”, JHEP 11, 206 (2021).
[17] M. Baggioli, ”Applied Holography: A Practical Mini-Course”, SpringerbBriefs in Physics. Springer, ISBN 978-3-030-35183-0, 978-3-030-35184-7, 10.1007/978-3-030-35184-7 (2019),arxiv:1908.02667.
[18] A. Donos and C. Pantelidou, ”Higgs/amplitude mode dynamics from holography”, JHEP 08, 246 (2022).
[19] M. J. Bhaseen, J. P. Gauntlett, B. D. Simons, J. Sonner and T. Wiseman, ”Holographic Superfluids and the Dynamics of Symmetry Breaking”, Phys. Rev. Lett. 110(1), 015301 (2013).
[20] D. Pekker and C. Varma, ”Amplitude/higgs modes in condensed matter physics”, Annual Review of Condensed Matter Physics 6(1), 269 (2015).
[21] R. Shimano and N. Tsuji, ”Higgs Mode in Superconductors”, Ann. Rev. Condensed Matter Phys. 11, 103 (2020).
[22] U. Gran, M. Torns¨o and T. Zingg, ”Holographic Plasmons”, JHEP 11, 176 (2018).
[23] U. Gran, M. Torns¨o and T. Zingg, ”Plasmons in Holographic Graphene”, SciPost Phys. 8, 093 (2020).
[24] U. Gran, M. Torns¨o and T. Zingg, ”Exotic Holographic Dispersion”, JHEP 02, 032 (2019).
[25] U. Gran, M. Torns¨o and T. Zingg, ”Holographic Response of Electron Clouds”, JHEP 03, 019 (2019).
[26] M. Baggioli, U. Gran, A. J. Alba, M. Torns¨o and T. Zingg, ”Holographic Plasmon Relaxation with and without Broken Translations”, JHEP 09, 013 (2019).
[27] M. Baggioli, U. Gran and M. Torns¨o, ”Transverse Collective Modes in Interacting Holographic Plasmas”, JHEP 04, 106 (2020).
[28] M. Baggioli, U. Gran and M. Torns¨o, ”Collective modes of polarizable holographic media in magnetic fields”, JHEP 06, 014 (2021).
[29] E. Mauri and H. T. C. Stoof, ”Screening of Coulomb interactions in Holography”, JHEP 04, 035 (2019).
[30] A. Romero-Berm´udez, A. Krikun, K. Schalm and J. Zaanen, ”Anomalous attenuation of plasmons in strange metals and holography”, Phys. Rev. B 99(23), 235149 (2019).
[31] G. Compere and D. Marolf, ”Setting the boundary free in AdS/CFT”, Class. Quant. Grav. 25, 195014 (2008).
[32] C. Ecker, W. van der Schee, D. Mateos and J. Casalderrey-Solana, ”Holographic evolution with dynamical boundary gravity”, JHEP 03, 137 (2022).
[33] A. Ishibashi, K. Maeda and T. Okamura, ”Semiclassical Einstein equations from holography and boundary dynamics”, (2023), arxiv:2301.12170.
[34] C. Ecker, E. Kiritsis and W. van der Schee, ”A dynamical inflaton coupled to strongly interacting matter”, (2023), arxiv:2302.06618.
[35] S. Vardhan, S. Grozdanov, S. Leutheusser and H. Liu, ”A new formulation of strong-field magnetohydrodynamics for neutron stars”, (2022) arxiv:2207.01636.
[36] M. J. Landry and H. Liu, ”A systematic formulation of chiral anomalous magnetohydrodynamics”, (2022) arxiv:2212.09757.
[37] A. Das, N. Iqbal and N. Poovuttikul, ”Towards an effective action for chiral magnetohydrodynamics”, (2022) arxiv:2212.09787.
[38] A. Das, R. Gregory and N. Iqbal, ”Higher-form symmetries, anomalous magnetohydrodynamics, and holography”, (2022) arxiv:2205.03619.
[39] M. Ammon, S. Grieninger, J. Hernandez, M. Kaminski, R. Koirala, J. Leiber and J. Wu, ”Chiral hydrodynamics in strong external magnetic fields”, JHEP 04, 078 (2021).
[40] P. C. Hohenberg and B. I. Halperin, ”Theory of dynamic critical phenomena”, Rev. Mod. Phys. 49, 435 (1977).
[41] A. Donos and P. Kailidis, ”Nearly critical holographic superfluids”, JHEP 12, 028 (2022).
[42] L. V. Delacr´etaz, D. M. Hofman and G. Mathys, ”Superfluids as Higher-form Anomalies”, SciPost Phys. 8, 047 (2020).
[43] U. Gursoy, ”Gravity/Spin-model correspondence and holographic superfluids”, JHEP 12, 062 (2010).
[44] D. M. Hofman and N. Iqbal, ”Generalized global symmetries and holography”, SciPost Phys. 4(1), 005 (2018).
Volume 3, Issue 2
June 2023
Pages 1-16
  • Receive Date: 24 March 2023
  • Revise Date: 14 April 2023
  • Accept Date: 29 April 2023