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Random Matrix Theory for Complexity Growth and Black Hole Interiors
[article]
2021
arXiv
pre-print
We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories. This is a refined, "microcanonical" version of K-complexity that applies to theories with infinite or continuous spectra (including quantum field theories), and in the holographic theories we study exhibits exponential growth for a scrambling time, followed by linear
arXiv:2106.02046v3
fatcat:hw4cebjnobf7tbhicyncsqpdlq