In Gauss-Bonnet AdS5, the probe-string complexity growth is maximized at zero velocity, independent of the GB coupling when stationary, and linear in temperature.
Complexity growth of rotating black holes with a probe string
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abstract
We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this corresponds to the insertion of a fundamental string on the bulk spacetime. The total action consists of the Einstein-Hilbert term and the Nambu-Goto term. The effect of this string is expressed by the Nambu-Goto term. Focusing on the Nambu-Goto term, we analyse the time development of this system. Our results show some interesting properties of complexity. This gives a useful hint for defining complexity in quantum field theories.
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$R^2$ corrections to Complexity Growth with a Probe String
In Gauss-Bonnet AdS5, the probe-string complexity growth is maximized at zero velocity, independent of the GB coupling when stationary, and linear in temperature.