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Complexity and Boost Symmetry
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We find that the time dependence of holographic complexity is controlled by the Rindler boost symmetry across the horizon. By studying the collision energy experienced by an infalling object, we see the breaking of this boost symmetry is closely related to firewalls, which in turn shows the connection between the time dependence of complexity and firewalls. We further identify the black and white hole interiors as two tapes storing different parts of the minimal circuit preparing the state. Depending on whether the quantum gates are being laid on the tape at a particular moment, each tape can be in two states: working, or locked. We interpret the existence of firewalls as the locking of tapes.
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Cited by 1 Pith paper
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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.
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