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Complexity via replica trick
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DOI：10.1007/JHEP08(2022)181.png)
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Abstract
En 中文
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 e(S0) 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.
Keywords:
AdS-CFT Correspondence
Black Holes in String Theory
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W