Gravity dual of Connes cocycle flow

The AdS/CFT correspondence allows one in principle to reconstruct the physics of a full (nonperturbative) quantum gravity from a conformal field theory on the boundary of AdS space, which is however difficult to do in practice even if the CFT is exactly defined. The authors define a ``kink-transform'' to reconstruct operators in the ``bulk'' and show that it is the dual of the so-called Connes cocycle flow on the boundary, which is more regular than previously considered similar constructions.