Rescuing a black hole in the large-q coupled SYK model

Journal Article · Tue Apr 13 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2021)116· OSTI ID:1853137

Lensky, Yuri D. ^[1]; Qi, Xiao-Liang ^[2]

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1. Stanford Univ., CA (United States). Stanford Inst. of Theoretical Physics (ITP); Stanford Univ., CA (United States)
2. Stanford Univ., CA (United States). Stanford Inst. of Theoretical Physics (ITP)

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show how the evolution of the system is described by a complex reparametrization field with a classical Hamiltonian. We study correlation functions in this system and compare the large-q theory with the bulk low energy effective theory. In particular, we study the special case of a “rescued black hole”, which describes how a time-evolved thermofield double state can evolve to the ground state of a coupled SYK model by a carefully tuned time-dependent coupling. In the low energy region, there is a holographic dual interpretation, which is a geometry that crosses over from an eternal black hole to a global AdS2 vacuum. This family of geometries allow us to access the bulk region that would be the black hole interior without the rescue process. By comparing the large-q and low energy theory, we find that even in the low energy region the deviation from the low energy theory cannot be neglected if the rescue process starts late. This provides evidence that the low energy effective theory of the bulk fails near the inner horizon of the black hole. We note the possibility of a connection to a two-dimensional analog of the higher-dimensional black hole singularity.

• Research Organization: Univ. of California, Oakland, CA (United States)
• Sponsoring Organization: Hertz Foundation; National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0019380
• OSTI ID: 1853137
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2021; ISSN 1029-8479
• Publisher: Springer Nature
• Country of Publication: United States
• Language: English

Related Subjects

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Black Holes
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Spacetime Singularities