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Paper   IPM / Physic / 16252
School of Physics
  Title:   An infalling observer and behind the horizon cutoff
1.  A. Akhavan
2.  M. Alishahiha
  Status:   Published
  Journal: SciPost Phys.
  No.:  6
  Vol.:  7
  Year:  2019
  Pages:   073
  Supported by:  IPM
Using Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the interior modes may be given in terms those partition functions associated with the modes of left and right exteriors. By making use of this relation we observe that setting a finite UV cutoff will enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff. The resultant cutoff is in agreement with what obtained in the context of holographic complexity.

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