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Paper   IPM / P / 16243
School of Physics
  Title:   Complexity and behind the horizon cut off
1.  A. Akhavan
2.  M. Alishahiha
3.  A. Naseh
4.  H. Zolfi
  Status:   Published
  Journal: JHEP
  Vol.:  2018
  Year:  2018
  Pages:   90
  Supported by:  IPM
Motivated by TT deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cutoff using “complexity=action” proposal. In order to have a late time behavior consistent with Lloyd’s bound one is forced to have a cutoff behind the horizon whose value is fixed by the boundary cutoff. Using this result we compute holographic complexity for two dimensional AdS solutions where we get expected late times linear growth. It is in contrast with the naively computation which is done without assuming the cutoff where the complexity approaches a constant at the late time.

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