Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bootstrapping Quantum Extremal Surfaces I: The Area Operator   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. We initiate 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. We 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 AdS$_3$/CFT$_2$, we 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. We
show that to this order, the Virasoro identity block contributes solely to the
area operator.

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th