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|Paper IPM / Particles / 15471||
Motivated by T―T 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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