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 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.
Highlights
In the context of AdS/CFT duality a thermal system on field theory could be expressed by a gravity model in AdS spacetime
The outline of this work is as follows: in Sect. 2 we obtain the evolution of complexity growth at the late time approximation and check the Lloyd bound in presence of the YM field and find a constraint condition on the parameters of the gravity theory
In our case for any values of γ we can have different real roots obtained from f (r ) = 0, but in a general form the Penrose diagram looks like Fig. 2 in which r1 is the most internal horizon and so 0 < r− ≡ r1 < r2 < r3 < · · · < r+, r∞ stands for r = −∞ and r0 indicates spatial null infinity
Summary
In the context of AdS/CFT duality a thermal system on field theory could be expressed by a gravity model in AdS spacetime. We can see the action growth rate by considering C A conjecture for the W DW patch at late time approximation in Ad S black holes is bounded as follows [5,6]: 967 Page 2 of 8. This can be considered as a future work which we will study Another important aspect of thermal systems is chaos which could be described with its corresponding dual in the bulk as the shock waves near the horizon of AdS black holes [11,12,13]. 2 we obtain the evolution of complexity growth at the late time approximation and check the Lloyd bound in presence of the YM field and find a constraint condition on the parameters of the gravity theory. Last section denotes to summarize of the results and the conclusion
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