Abstract
We study systems in 2 + 1 dimensions consisting of defects that source an electric charge, or a magnetic flux, of a U(1) field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects inside the horizon of a black hole, where they continue to affect the quantum fields outside. By extending the solutions to braneworld holography, we find the non-linear backreaction of the quantum fields on the defect and black hole backgrounds. This gives quantum charged point particles and black holes. The charged quantum black holes markedly differ from classically charged BTZ black holes, since the quantum-induced electromagnetic field in 2 + 1 dimensions has a better asymptotic behavior than its classical counterpart. The construction also gives a new class of (near-)extremal charged quantum black holes with AdS2 throats.
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R. Emparan, A. Fabbri and N. Kaloper, Quantum black holes as holograms in AdS brane worlds, JHEP 08 (2002) 043 [hep-th/0206155] [INSPIRE].
R. Emparan, A.M. Frassino and B. Way, Quantum BTZ black hole, JHEP 11 (2020) 137 [arXiv:2007.15999] [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].
H. Lü and J.F. Vázquez-Poritz, C-metrics in Gauged STU Supergravity and Beyond, JHEP 12 (2014) 057 [arXiv:1408.6531] [INSPIRE].
M. Banados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE].
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole, Phys. Rev. D 48 (1993) 1506 [Erratum ibid. 88 (2013) 069902] [gr-qc/9302012] [INSPIRE].
M. Casals, A. Fabbri, C. Martínez and J. Zanelli, Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities, Phys. Rev. Lett. 118 (2017) 131102 [arXiv:1608.05366] [INSPIRE].
P. Peldan, Unification of gravity and Yang-Mills theory in (2+1)-dimensions, Nucl. Phys. B 395 (1993) 239 [gr-qc/9211014] [INSPIRE].
G. Clement, Spinning charged BTZ black holes and selfdual particle-like solutions, Phys. Lett. B 367 (1996) 70 [gr-qc/9510025] [INSPIRE].
C. Martínez, C. Teitelboim and J. Zanelli, Charged rotating black hole in three space-time dimensions, Phys. Rev. D 61 (2000) 104013 [hep-th/9912259] [INSPIRE].
A.M. Frassino, J.F. Pedraza, A. Svesko and M.R. Visser, Reentrant phase transitions of quantum black holes, Phys. Rev. D 109 (2024) 124040 [arXiv:2310.12220] [INSPIRE].
R. Emparan and M. Tomašević, Strong cosmic censorship in the BTZ black hole, JHEP 06 (2020) 038 [arXiv:2002.02083] [INSPIRE].
M. Kolanowski and M. Tomašević, Singularities in 2D and 3D quantum black holes, JHEP 12 (2023) 102 [arXiv:2310.06014] [INSPIRE].
L.V. Iliesiu and G.J. Turiaci, The statistical mechanics of near-extremal black holes, JHEP 05 (2021) 145 [arXiv:2003.02860] [INSPIRE].
G.T. Horowitz, M. Kolanowski and J.E. Santos, Almost all extremal black holes in AdS are singular, JHEP 01 (2023) 162 [arXiv:2210.02473] [INSPIRE].
G.T. Horowitz, M. Kolanowski, G.N. Remmen and J.E. Santos, Sudden breakdown of effective field theory near cool Kerr-Newman black holes, JHEP 05 (2024) 122 [arXiv:2403.00051] [INSPIRE].
V.E. Hubeny, D. Marolf and M. Rangamani, Hawking radiation from AdS black holes, Class. Quant. Grav. 27 (2010) 095018 [arXiv:0911.4144] [INSPIRE].
R. Emparan et al., Black holes in dS3, JHEP 11 (2022) 073 [arXiv:2207.03302] [INSPIRE].
Y. Feng et al., Quantum Charged Black Holes, arXiv:2404.07192 [INSPIRE].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
R. Emparan and J.M. Magan, Tearing down spacetime with quantum disentanglement, JHEP 03 (2024) 078 [arXiv:2312.06803] [INSPIRE].
J.F. Plebanski and M. Demianski, Rotating, charged, and uniformly accelerating mass in general relativity, Annals Phys. 98 (1976) 98 [INSPIRE].
R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes, JHEP 01 (2000) 007 [hep-th/9911043] [INSPIRE].
R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes. II. Comparison with BTZ black holes and black strings, JHEP 01 (2000) 021 [hep-th/9912135] [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44S10 (1966) 1 [Erratum ibid. 48 (1967) 463] [INSPIRE].
J.P.S. Lemos and P. Luz, All fundamental electrically charged thin shells in general relativity: From star shells to tension shell black holes, regular black holes, and beyond, Phys. Rev. D 103 (2021) 104046 [arXiv:2103.15832] [INSPIRE].
P. Nayak et al., On the Dynamics of Near-Extremal Black Holes, JHEP 09 (2018) 048 [arXiv:1802.09547] [INSPIRE].
M. Taylor, More on counterterms in the gravitational action and anomalies, hep-th/0002125 [INSPIRE].
H. Omiya and Z. Wei, Causal structures and nonlocality in double holography, JHEP 07 (2022) 128 [arXiv:2107.01219] [INSPIRE].
A. Karch, H. Sun and C.F. Uhlemann, Double holography in string theory, JHEP 10 (2022) 012 [arXiv:2206.11292] [INSPIRE].
P. Bueno, R. Emparan and Q. Llorens, Higher-curvature gravities from braneworlds and the holographic c-theorem, Phys. Rev. D 106 (2022) 044012 [arXiv:2204.13421] [INSPIRE].
D. Neuenfeld and M. Srivastava, On the causality paradox and the Karch-Randall braneworld as an EFT, JHEP 10 (2023) 164 [arXiv:2307.10392] [INSPIRE].
B. Bajc and G. Gabadadze, Localization of matter and cosmological constant on a brane in anti-de Sitter space, Phys. Lett. B 474 (2000) 282 [hep-th/9912232] [INSPIRE].
P. Bueno, P.A. Cano and R.A. Hennigar, Nonlocal Massive Gravity from Einstein Gravity, Phys. Rev. Lett. 132 (2024) 191402 [arXiv:2312.04637] [INSPIRE].
A.M. Frassino, J.F. Pedraza, A. Svesko and M.R. Visser, Higher-Dimensional Origin of Extended Black Hole Thermodynamics, Phys. Rev. Lett. 130 (2023) 161501 [arXiv:2212.14055] [INSPIRE].
C.V. Johnson and R. Nazario, Specific Heats for Quantum BTZ Black Holes in Extended Thermodynamics, arXiv:2310.12212 [INSPIRE].
S.A. Hosseini Mansoori, J.F. Pedraza and M. Rafiee, Criticality and thermodynamic geometry of quantum BTZ black holes, arXiv:2403.13063 [INSPIRE].
S.-P. Wu and S.-W. Wei, Thermodynamical topology of quantum BTZ black hole, Phys. Rev. D 110 (2024) 024054 [arXiv:2403.14167] [INSPIRE].
G. Lifschytz and M. Ortiz, Scalar field quantization on the (2+1)-dimensional black hole background, Phys. Rev. D 49 (1994) 1929 [gr-qc/9310008] [INSPIRE].
A.R. Steif, The quantum stress tensor in the three-dimensional black hole, Phys. Rev. D 49 (1994) 585 [gr-qc/9308032] [INSPIRE].
K. Shiraishi and T. Maki, Quantum fluctuation of stress tensor and black holes in three dimensions, Phys. Rev. D 49 (1994) 5286 [arXiv:1804.07872] [INSPIRE].
E. Panella and A. Svesko, Quantum Kerr-de Sitter black holes in three dimensions, JHEP 06 (2023) 127 [arXiv:2303.08845] [INSPIRE].
A. Climent, R.A. Hennigar, E. Panella and A. Svesko, Nucleation of charged quantum de-Sitter3 black holes, to appear.
Acknowledgments
We are grateful to Antonia M. Frassino, Sean Hartnoll, Maciej Kolanowski, Quim Llorens, Juan Pedraza, Jordi Rafecas-Ventosa, Andrew Svesko, and Manus Visser for discussions. Work supported by MICINN grants PID2019-105614GB-C22, AGAUR grant 2017-SGR 754, PID2022-136224NB-C22 funded by MCIN/AEI/ 10.13039/501100011033/FEDER, UE, and State Research Agency of MICINN through the ‘Unit of Excellence Maria de Maeztu 2020-2023’ award to the Institute of Cosmos Sciences (CEX2019-000918-M). The work of RAH received the support of a fellowship from “la Caixa” Foundation (ID 100010434) and from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 847648 under fellowship code LCF/BQ/PI21/11830027. RE is grateful to the KITP-UCSB for hospitality in the final stage of this work during the program “What is String Theory?”, and acknowledges partial support by grant NSF PHY-2309135 and the Gordon and Betty Moore Foundation Grant No. 2919.02 to the Kavli Institute for Theoretical Physics (KITP).
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Climent, A., Emparan, R. & Hennigar, R.A. Chemical potential and charge in quantum black holes. J. High Energ. Phys. 2024, 150 (2024). https://doi.org/10.1007/JHEP08(2024)150
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DOI: https://doi.org/10.1007/JHEP08(2024)150