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Paper   IPM / Particles / 15857
School of Particles and Accelerator
  Title:   More on complexity in finite cut off geometry
1.  S. Sedigheh Hashemi
2.  Ghadir Jafari
3.  Ali Naseh
4.  Hamed Zolfi
  Status:   Published
  Journal: Phys. Lett. B
  No.:  134898
  Vol.:  797
  Year:  2019
  Supported by:  IPM
It has been recently proposed that late time behavior of holographic complexity in a uncharged black brane solution of Einstein-Hilbert theory with boundary cut off is consistent with Lloyd's bound if we have a cut off behind the horizon. Interestingly, the value of this new cut off is fixed by the boundary cut off. In this paper, we extend this analysis to the charged black holes. Concretely, we find the value of this new cut off for charged small black hole solutions of Einstein-Hilbert-Maxwell theory, in which the proposed bound on the complexification is saturated. We also explore this new cut off in Gauss-Bonnet-Maxwell theory.

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