On volume subregion complexity in Vaidya spacetime

A bstract We study holographic subregion volume complexity for a line segment in the AdS 3 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-depende...

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Veröffentlicht in:The journal of high energy physics 2019-11, Vol.2019 (11), p.1-27, Article 98
Hauptverfasser: Auzzi, Roberto, Nardelli, Giuseppe, Schaposnik Massolo, Fidel I., Tallarita, Gianni, Zenoni, Nicolò
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Sprache:eng
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Zusammenfassung:A bstract We study holographic subregion volume complexity for a line segment in the AdS 3 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
1126-6708
1029-8479
DOI:10.1007/JHEP11(2019)098