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Paper   IPM / Particles / 15471
School of Particles and Accelerator
  Title:   Complexity and Behind the Horizon Cut Off
  Author(s): 
1.  Amin Akhavan
2.  Mohsen Alishahiha
3.  Ali Naseh
4.  Hamed Zolfi
  Status:   Published
  Journal: JHEP
  No.:  090
  Vol.:  12
  Year:  2018
  Supported by:  IPM
  Abstract:
Motivated by TT deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with Lloyd's bound one is forced to have a cut off behind the horizon whose value is fixed by the boundary cut off. 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 cut off where the complexity approaches a constant at the late time.

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