On volume subregion complexity in Vaidya spacetime

Autor: Auzzi, Roberto, Nardelli, Giuseppe, Massolo, Fidel I. Schaposnik, Tallarita, Gianni, Zenoni, Nicolo
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP11(2019)098
Popis: 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.
Comment: 22 pages, 9 figures; V2: expanded discussion
Databáze: arXiv