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[Caveat emptor: this is slightly speculative suggestion from a position of relative ignorance.] There's also another scale in the game in "ordinary" AdS/CFT: while $\lambda$ sets string length, $N$ sets Planck length. Large $N$ suppresses quantum effects, while large $\lambda$ suppresses stringy effects. Stringy (higher derivative) effects have no obvious ...
My understanding was always that this was a result of time evolution preserving measure in state space. So we have a space of states $\mathcal{P}$ with measure $\mu$ and there is an ensemble of states in $\mathcal{P}$ distributed according to some other measure $\nu$. We also have a dynamical system discribing time evolution \$f:\mathcal{P} \times \mathbb{R} ...