Holographic subregion complexity in a moving strongly coupled plasma

TL;DR

This paper investigates how holographic subregion complexity behaves in a moving strongly coupled plasma across different dimensions, revealing a universal divergence as velocity nears the speed of light, characterized by the Lorentz factor squared.

Contribution

It introduces a numerical study of holographic subregion complexity in boosted black brane backgrounds, highlighting a universal divergence near relativistic velocities across multiple dimensions.

Findings

Complexity increases with temperature, velocity, and subregion size.

Holographic complexity diverges as velocity approaches the speed of light.

Divergence follows a universal pattern characterized by the Lorentz factor squared.

Abstract

We study holographic subregion complexity in a moving strongly coupled plasma in dimensions d = 2, 3, 4, which is holographically dual to a boosted black brane metric in a higher dimensional geometry. The proposal we employ is the one that identifies the complexity of a mixed state by the volume of codimensional-one hypersurface enclosed by Hubeny-Rangamani-Takayanagi surface. Using the finite difference method, the numerical calculations reveal that temperature, velocity, and subregion length all have an increasing effect on holographic subregion complexity. For arbitrary values of temperature and subregion length, as velocity approaches its relativistic upper limit, holographic subregion complexity exhibits a divergence. This divergence behavior observed in d = 2, 3, 4 seems to demonstrate a universal behavior and is characterized by the Lorentz factor squared, {\gamma}2.