Holographic Complexity Equals Bulk Action
TLDR
The hypothesis that black holes are the fastest computers in nature is discussed and the conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that is called a Wheeler-DeWitt patch is illustrated.Abstract:
We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti-de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.read more
Citations
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Holographic complexity for nonlinearly charged Lifshitz black holes
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Switchback effect of holographic complexity in multiple-horizon black holes
TL;DR: In this paper, the switchback effect in strongly-coupled quantum field theories with finite $N$ and finite coupling effects has been investigated in the context of holography.
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Krylov complexity in conformal field theory
TL;DR: In this paper, the authors study Krylov complexity in conformal field theories by considering arbitrary 2D CFTs, free field, and holographic models, and find that the bound on OTOC provided by K-complexity reduces to bound on chaos of Maldacena, Shenker, and Stanford.
References
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