Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relating loop quantum cosmology to loop quantum gravity: Symmetric
  sectors and embeddings   In this paper we address the meaning of states in loop quantum cosmology
(LQC), in the context of loop quantum gravity. First, we introduce a rigorous
formulation of an embedding proposed by Bojowald and Kastrup, of LQC states
into loop quantum gravity. Then, using certain holomorphic representations, a
new class of embeddings, called b-embeddings, are constructed, following the
ideas of [1]. We exhibit a class of operators preserving each of these
embeddings, and show their consistency with the LQC quantization. In the
b-embedding case, the classical analogues of these operators separate points in
phase space. Embedding at the gauge and diffeomorphism invariant level is
discussed briefly in the conclusions.

1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph