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Complexity and typical microstates.

Ross, Simon F. (2019) 'Complexity and typical microstates.', Physical review D., 100 (6). 066014 .


Typical black hole microstates in AdS=CFT were recently conjectured to have a geometrical dual with a smooth horizon and a portion of a second asymptotic region. I consider the application of the holographic complexity conjectures to this geometry. The holographic calculation leads to divergent values for the complexity; I argue that this classical divergence is consistent with expectations for typical microstates.

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Publisher statement:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Date accepted:27 August 2019
Date deposited:18 September 2019
Date of first online publication:17 September 2019
Date first made open access:18 September 2019

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