Lecture 23: Interior reconstruction in AdS/CFT
We discussed the construction of "mirror operators". These are boundary operators that are dual to degrees of freedom in the interior of a large black hole. In order to perform this construction, we introduced the notion of the little Hilbert space, and of equilibrium states. We then checked that the mirror operators, as defined, had the right correlators with ordinary operators. The commutator of interior operators with simple operators outside the black hole does not vanish as an operator. But the mirror operator construction is cleverly designed to ensure that this commutator is undetectable within simple experiments.
