Journal of High Energy Physics (Nov 2019)

On volume subregion complexity in Vaidya spacetime

  • Roberto Auzzi,
  • Giuseppe Nardelli,
  • Fidel I. Schaposnik Massolo,
  • Gianni Tallarita,
  • Nicolò Zenoni

DOI
https://doi.org/10.1007/JHEP11(2019)098
Journal volume & issue
Vol. 2019, no. 11
pp. 1 – 27

Abstract

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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.

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