Seeing behind black hole horizons in SYK

• Published in: The journal of high energy physics Vol. 2022; no. 6; pp. 143 - 56
• Main Authors: Gao, Ping, Lamprou, Lampros
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 24.06.2022; Springer Nature B.V; Springer Nature; SpringerOpen
• Subjects: 2D Gravity; AdS-CFT Correspondence; Black Holes; Classical and Quantum Gravitation; Computation; Elementary Particles; Gravity; High energy physics; Phase transitions; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Success; Validity; Wormholes; AdS-CFT Correspondence; 2D Gravity; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2022)143

A bstract 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.