Abstract
We find, in the AdS/CFT, a source on the boundary which generates one wave packet drawing a null geodesic inside the bulk. Once such a wave packet dives into the bulk, it comes back to the boundary after a specific time, at which the expectation value of the corresponding boundary operator finally stands up. Since this behavior strongly reflects the existence of the holographic spacetime, our technique will be helpful in identifying holographic materials.
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J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [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].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
C.P. Herzog, Lectures on Holographic Superfluidity and Superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [INSPIRE].
J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].
G.T. Horowitz, Introduction to Holographic Superconductors, Lect. Notes Phys. 828 (2011) 313 [arXiv:1002.1722] [INSPIRE].
S. Sachdev, Condensed Matter and AdS/CFT, Lect. Notes Phys. 828 (2011) 273 [arXiv:1002.2947] [INSPIRE].
K. Hashimoto, S. Kinoshita and K. Murata, Imaging black holes through the AdS/CFT correspondence, Phys. Rev. D 101 (2020) 066018 [arXiv:1811.12617] [INSPIRE].
K. Hashimoto, S. Kinoshita and K. Murata, Einstein Rings in Holography, Phys. Rev. Lett. 123 (2019) 031602 [arXiv:1906.09113] [INSPIRE].
Y. Kaku, K. Murata and J. Tsujimura, Observing black holes through superconductors, JHEP 09 (2021) 138 [arXiv:2106.00304] [INSPIRE].
Y. Liu et al., Holographic Einstein ring of a charged AdS black hole, JHEP 10 (2022) 189 [arXiv:2201.03161] [INSPIRE].
K. Hashimoto, D. Takeda, K. Tanaka and S. Yonezawa, Spacetime-emergent ring toward tabletop quantum gravity experiments, Phys. Rev. Res. 5 (2023) 023168 [arXiv:2211.13863] [INSPIRE].
S. Caron-Huot, Holographic cameras: an eye for the bulk, JHEP 03 (2023) 047 [arXiv:2211.11791] [INSPIRE].
X.-X. Zeng, K.-J. He, J. Pu and G.-P. Li, Holographic Einstein rings of a Gauss-Bonnet AdS black hole, arXiv:2302.03692 [INSPIRE].
Event Horizon Telescope collaboration, First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole, Astrophys. J. Lett. 875 (2019) L1 [arXiv:1906.11238] [INSPIRE].
Event Horizon Telescope collaboration, First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way, Astrophys. J. Lett. 930 (2022) L12 [INSPIRE].
Y. Kaku, K. Murata and J. Tsujimura, Creating stars orbiting in AdS, Phys. Rev. D 106 (2022) 026002 [arXiv:2202.07807] [INSPIRE].
D. Berenstein and J. Simón, Localized states in global AdS space, Phys. Rev. D 101 (2020) 046026 [arXiv:1910.10227] [INSPIRE].
D. Berenstein, Z. Li and J. Simón, ISCOs in AdS/CFT, Class. Quant. Grav. 38 (2021) 045009 [arXiv:2009.04500] [INSPIRE].
I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-De Sitter Space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
S. Terashima, Wave Packets in AdS/CFT Correspondence, arXiv:2304.08478 [INSPIRE].
Acknowledgments
We thank Koji Hashimoto and Takuya Yoda for discussions. The work of S.K. was supported in part by JSPS KAKENHI Grant No. 16K17704. The work of K.M. was supported in part by JSPS KAKENHI Grant Nos. 20K03976, 21H05186 and 22H01217. The work of D.T. is supported by Grant-in-Aid for JSPS Fellows No. 22J20722.
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Kinoshita, S., Murata, K. & Takeda, D. Shooting null geodesics into holographic spacetimes. J. High Energ. Phys. 2023, 74 (2023). https://doi.org/10.1007/JHEP10(2023)074
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DOI: https://doi.org/10.1007/JHEP10(2023)074