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Complexity of Hyperscaling Violating Theories at Finite Cutoff
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Using the complexity equals action proposal we study holographic complexity for hyperscaling violating theories in the presence of a finite cutoff that, in turns, requires to obtain all counter terms needed to have finite boundary energy momentum tensor. These terms could give non-trivial contributions to the complexity. We observe that having a finite UV cutoff would enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff; moreover, certain counter term should be defined on the cutoff behind the horizon too.
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An Infalling Observer and Behind the Horizon Cutoff
For an eternal black hole, the interior partition function factorizes as the square of the exterior one, fixing the behind-the-horizon cutoff in terms of the UV cutoff.
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