# Holographic subregion complexity of boosted black brane and Fisher information

## TL;DR

This paper investigates holographic subregion complexity and Fisher information metrics for boosted black branes, revealing asymmetries due to boost and a novel discrepancy between holographic Fisher information and fidelity susceptibility.

## Contribution

It introduces the computation of holographic subregion complexity for boosted black branes and uncovers that holographic Fisher information and fidelity susceptibility are not related, contrasting with quantum information expectations.

## Key findings

- Asymmetry in subregion complexity due to boost parameter.
- Holographic Fisher information and fidelity susceptibility are not related.
- Comparison with quantum information literature highlights differences.

## Abstract

In this paper, we have studied the holographic subregion complexity for boosted black brane for strip like subsystem. The holographic subregion complexity has been computed for a subsystem chosen along and perpendicular to the boost direction. We have observed that there is an asymmetry in the result due to the boost parameter which can be attributed to the asymmetry in the holographic entanglement entropy. The Fisher information metric and the fidelity susceptibility have also been computed using bulk dual prescriptions. It is observed that the two metrics computed holographically are not related for both the pure black brane as well as the boosted black brane. This is one of the main findings in this paper and the holographic results have been compared with the results available in the quantum information literature where it is known that the two distances are related to each other in general.