# Complexity of Hyperscaling Violating Theories at Finite Cutoff

## TL;DR

This paper investigates how finite UV cutoffs affect holographic complexity in hyperscaling violating theories, revealing the necessity of counter terms behind the horizon and their impact on complexity calculations.

## Contribution

It introduces the analysis of holographic complexity with finite cutoffs in hyperscaling violating theories, emphasizing the role of counter terms behind the horizon.

## Key findings

- Finite UV cutoff requires a cutoff behind the horizon.
- Counter terms on the cutoff behind the horizon are necessary.
- Finite cutoff influences the complexity calculation.

## Abstract

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.