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

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arxiv 1806.07242 v3 pith:ETUSMGOV submitted 2018-06-15 gr-qc

Emad Yaraie , Hossein Ghaffarnejad , Mohammad Farsam This is my paper · ORCID
classification gr-qc
keywords complexitygrowthchargegeometryrateshocktheorywave
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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.

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