Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized gravitational entropy   We consider classical Euclidean gravity solutions with a boundary. The
boundary contains a non-contractible circle. These solutions can be interpreted
as computing the trace of a density matrix in the full quantum gravity theory,
in the classical approximation. When the circle is contractible in the bulk, we
argue that the entropy of this density matrix is given by the area of a minimal
surface. This is a generalization of the usual black hole entropy formula to
euclidean solutions without a Killing vector.
  A particular example of this set up appears in the computation of the
entanglement entropy of a subregion of a field theory with a gravity dual. In
this context, the minimal area prescription was proposed by Ryu and Takayanagi.
Our arguments explain their conjecture.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
21
The categories of this paper are: adap-org