Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory

TL;DR

This paper investigates how non-abelian gauge fields, specifically in Maxwell-power-Yang-Mills theory within AdS space, influence holographic complexity growth and shock wave dynamics, including the impact of YM charge on complexity and Lloyd bound validity.

Contribution

It introduces the study of complexity growth in AdS-Maxwell-power-Yang-Mills theory, analyzing the effects of YM charge on complexity rate and shock wave behavior, which is a novel extension of holographic complexity research.

Findings

YM charge affects the complexity growth rate.

Shock wave spreading is influenced by YM charge.

Lloyd bound validity depends on YM charge parameters.

Abstract

We study effects of non-abelian gauge fields on the holographic characteristics for instance the evolution of computational complexity. To do so we choose Maxwell-power-Yang-Mills theory defined in the AdS space-time. Then we seek the impact of charge of the YM field on the complexity growth rate by using $complexity=action$ (CA) conjecture. We also investigate the spreading of perturbations near the horizon and the complexity growth rate in local shock wave geometry in presence of the YM charge. At last we check validity regime of Lloyd bound.