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

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.

arXiv comment18 pages, 2 Figures and improved with some additional sentences

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• Complexity growth of massive black hole with a probe string
• Reparameterization Dependence is Useful for Holographic Complexity
• Action Growth of Dyonic Black Holes and Electromagnetic Duality
• Cooling and heating regions of Joule-Thomson expansion for AdS black holes: Einstein-Maxwell-Power-Yang-Mills and Kerr Sen black holes
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Complexity growth of BTZ black hole in massive gravity with a null string
• Holographic complexity for nonlinearly charged Lifshitz black holes
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• Complexity Conjecture of Regular Electric Black Holes
• Reparameterization Dependence and Holographic Complexity of Black Holes
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole