On volume subregion complexity in Vaidya spacetime

Abstract We study holographic subregion volume complexity for a line segment in the AdS3 Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal field theory. We find the time-dependent...

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Bibliographic Details
Main Authors: Roberto Auzzi, Giuseppe Nardelli, Fidel I. Schaposnik Massolo, Gianni Tallarita, Nicolò Zenoni
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)098
Description
Summary:Abstract We study holographic subregion volume complexity for a line segment in the AdS3 Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal field theory. We find the time-dependent extremal volume surface by numerically solving a partial differential equation with boundary condition given by the Hubeny-Rangamani- Takayanagi surface, and we use this solution to compute holographic subregion complexity as a function of time. Approximate analytical expressions valid at early and at late times are derived.
ISSN:1029-8479