Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loop Quantum Gravity, Exact Holographic Mapping, and Holographic
  Entanglement Entropy   The relation between Loop Quantum Gravity (LQG) and tensor network is
explored from the perspectives of bulk-boundary duality and holographic
entanglement entropy. We find that the LQG spin-network states in a space
$\Sigma$ with boundary $\partial\Sigma$ is an exact holographic mapping similar
to the proposal in arXiv:1309.6282. The tensor network, understood as the
boundary quantum state, is the output of the exact holographic mapping emerging
from a coarse graining procedure of spin-networks. Furthermore, when a region
$A$ and its complement $\bar{A}$ are specified on the boundary
$\partial\Sigma$, we show that the boundary entanglement entropy $S(A)$ of the
emergent tensor network satisfies the Ryu-Takayanagi formula in the
semiclassical regime, i.e. $S(A)$ is proportional to the minimal area of the
bulk surface attached to the boundary of $A$ in $\partial\Sigma$.

35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics