We consider computational complexity of black holes. Our system contains a particle moving on the boundary of AdS. This corresponds to the insertion of a fundamental string in bulk spacetime. Our results give a constraint for complexity. This gives us a hint for defining complexity in quantum field theories.
DOI:https://doi.org/10.1103/PhysRevD.96.126018
© 2017 American Physical Society
Penrose diagram of the AdS black hole. The blue diagonal lines represent the black hole horizon. (left) The shaded rectangular region represents the Wheeler-de Witt patch (WdW). (right) Two WdW in different left CFT time . The regions 1,2,3 and 4 represent the difference of these two patches. The contributions from regions 2 and 3 cancel. The contribution from region 4 becomes smaller as time develops. Then the integration over only the region 1 is relevant for our analysis.
Reuse & PermissionsAngular velocity dependence: Different colored lines represent curves for different masses.
Reuse & PermissionsMass dependence: Different colored lines represent curves for different velocities.
Reuse & PermissionsSame graph with projections: the same curves (Figs. 2 and 3) can be seen in the individual planes.
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