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arXiv · 1908.10832

On volume subregion complexity in Vaidya spacetime

Roberto Auzzi·Giuseppe Nardelli·Fidel I. Schaposnik Massolo·Gianni Tallarita·Nicolo Zenoni
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Abstract

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.

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Roberto Auzzi, Giuseppe Nardelli, Fidel I. Schaposnik Massolo, Gianni Tallarita, Nicolo Zenoni. 2019-08-28. On volume subregion complexity in Vaidya spacetime. https://doi.org/10.1007/jhep11(2019)098

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