Work

Complexity via replica trick

Year: 2022
Type: article
Abstract: We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the “quenched geodesic length” in JT gravity. The late time behaviour of complexity shows a saturation to a constant value of order eS0 following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.
Authors: Mohsen Alishahiha, Souvik Banerjee, Joshua Kames-King
Language: English
Open Access status: diamond
OpenAlex ID: W4229046576
FWCI: 0.376
Cites: 51
Cited by: 12
Related to: 10