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High Energy Physics - Theory

arXiv:2111.14010 (hep-th)
[Submitted on 28 Nov 2021 (v1), last revised 9 Mar 2022 (this version, v2)]

Title:Seeing behind black hole horizons in SYK

Authors:Ping Gao, Lampros Lamprou
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Abstract:We present an explicit reconstruction of the interior of an AdS$_2$ black hole in Jackiw-Teitelboim gravity, that is entirely formulated in the dual SYK model and makes no direct reference to the gravitational bulk. We do this by introducing a probe "observer" in the right wormhole exterior and using the prescription of [arXiv:2009.04476] to transport SYK operators along the probe's infalling worldline and into the black hole interior, using an appropriate SYK modular Hamiltonian. Our SYK computation recovers the precise proper time at which signals sent from the left boundary are registered by our observer's apparatus inside the wormhole. The success of the computation relies on the universal properties of SYK and we outline a promising avenue for extending it to higher dimensions and applying it to the computation of scattering amplitudes behind the horizon.
Comments: 63 pages, 12 figures
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph)
Cite as: arXiv:2111.14010 [hep-th]
  (or arXiv:2111.14010v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.14010
Related DOI: https://doi.org/10.1007/JHEP06%282022%29143

Submission history

From: Ping Gao [view email]
[v1] Sun, 28 Nov 2021 00:33:50 UTC (2,054 KB)
[v2] Wed, 9 Mar 2022 19:32:03 UTC (2,056 KB)
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