On subregion action complexity in AdS3 and in the BTZ black hole

On subregion action complexity in AdS3 and in the BTZ black hole

Abstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. Th...

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Bibliographic Details
Main Authors: Roberto Auzzi, Stefano Baiguera, Andrea Legramandi, Giuseppe Nardelli, Pratim Roy, Nicolò Zenoni
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Black Holes
Online Access:https://doi.org/10.1007/JHEP01(2020)066
Description
Summary:Abstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.
ISSN:1029-8479

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