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Paper   IPM / P / 17173
School of Physics
  Title:   Complexity via replica trick
1.  M. Alishahiha
2.  S. Banerjee
3.  J. Kames-King
  Status:   Published
  Journal: JHEP
  Vol.:  08
  Year:  2022
  Pages:   181
  Supported by:  IPM
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.

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