Black holes from large N singlet models

Abstract

The emergent nature of spacetime geometry and black holes can be directly probed in simple holographic duals of higher spin gravity and tensionless string theory. To this end, we study time dependent thermal correlation functions of gauge invariant observables in suitably chosen free large N gauge theories. At low temperature and on short time scales the correlation functions encode propagation through an approximate AdS spacetime while interesting departures emerge at high temperature and on longer time scales. This includes the existence of evanescent modes and the exponential decay of time dependent boundary correlations, both of which are well known indicators of bulk black holes in AdS/CFT. In addition, a new time scale emerges after which the correlation functions return to a bulk thermal AdS form up to an overall temperature dependent normalization. A corresponding length scale was seen in equal time correlation functions in the same models in our earlier work.

37 pages, 4 figures, 1 table. v2: typos corrected in section 4 and appendix

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• Large N Optimization for multi-matrix systems
• Thermalization/Relaxation in integrable and free field theories: an Operator Thermalization Hypothesis
• Operator thermalization vs eigenstate thermalization
• A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model