Cite as: doi:10.26081/K6GK83

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Quantum extremal surfaces are central to the connection between quantum
information theory and quantum gravity and they have played a prominent
role in the recent progress on the information paradox. In this talk, I
will present a program to systematically link these surfaces to the
microscopic data of the dual conformal field theory, namely the scaling
dimensions of local operators and their OPE coefficients. I will
consider CFT states obtained by acting on the vacuum with single-trace
operators, which are dual to one-particle states of the bulk theory.
Focusing on AdS3/CFT2, I will compute the CFT entanglement entropy to
second order in the large c expansion where quantum extremality becomes
important and match it to the expectation value of the bulk area
operator. I will show that to this order, the Virasoro identity block
contributes solely to the area operator.
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