Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum gravity states, entanglement graphs and second-quantized tensor
  networks   In recent years, the import of quantum information techniques in quantum
gravity opened new perspectives in the study of the microscopic structure of
spacetime. We contribute to such a program by establishing a precise
correspondence between the quantum information formalism of tensor networks
(TN), in the case of projected entangled-pair states (PEPS) generalised to a
second-quantized framework, and group field theory (GFT) states, and by showing
how, in this quantum gravity approach, discrete spatial manifolds arise as
entanglement patterns among quanta of space, having a dual representation in
terms of graphs and simplicial complexes. We devote special attention to the
implementation and consequences of the label independence of the
graphs/networks, corresponding to the indistinguishability of the space quanta
and representing a discrete counterpart of the diffeomorphism invariance of a
consistent quantum gravity formalism. We also outline a relational setting to
recover distinguishability of graph/network vertices at an effective and
physical level, in a partial semi-classical limit of the theory.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an