Holographic Complexity Equals Bulk Action?
Name
PhysRevLett.116.191301.pdf
Size
1.07 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Brown, Adam R.
Susskind, Leonard
Swingle, Brian
Zhao, Ying
Roberts, Daniel Adam
Date Issued
May 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Brown, Adam R., Daniel A. Roberts, Leonard Susskind, Brian Swingle, and Ying Zhao. “Holographic Complexity Equals Bulk Action?” Physical Review Letters 116, no. 19 (May 9, 2016). © 2016 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.116.191301
