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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: AdS-CFT I

MP 1.3: Talk

Monday, August 30, 2021, 11:50–12:15, H3

Complexity as a holographic probe of strong cosmic censorship — Mohsen Alishahiha¹, •Souvik Banerjee², Joshua Kames-King^3,4, and Emma Loos² — ¹School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran — ²Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, Würzburg, Germany — ³Bethe Center for Theoretical Physics and Physikalisches Institut der Universitaet Bonn, Bonn, Germany — ⁴Kavli Institute for Theoretical Physics, University of California, Santa Barbara, USA

Based on reasonable assumptions, we propose a new expression for Lloyd's bound, which confines the complexity growth of charged black holes. We then compute the holographic complexity for charged black branes in the presence of a finite cutoff using complexity = action proposal. Using the proposed Lloyd's bound, we find a relation between the ultraviolet and the behind the horizon cutoffs. This relation is found to be consistent with the factorization of the partition function at leading order in large N. We argue that the result may be thought of as a holographic realization of strong cosmic censorship.