Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Status of background-independent coarse-graining in tensor models for
  quantum gravity   A background-independent route towards a universal continuum limit in
discrete models of quantum gravity proceeds through a background-independent
form of coarse graining. This review provides a pedagogical introduction to the
conceptual ideas underlying the use of the number of degrees of freedom as a
scale for a Renormalization Group flow. We focus on tensor models, for which we
explain how the tensor size serves as the scale for a background-independent
coarse-graining flow. This flow provides a new probe of a universal continuum
limit in tensor models. We review the development and setup of this tool and
summarize results in the 2- and 3-dimensional case. Moreover, we provide a
step-by-step guide to the practical implementation of these ideas and tools by
deriving the flow of couplings in a rank-4-tensor model. We discuss the
phenomenon of dimensional reduction in these models and find tentative first
hints for an interacting fixed point with potential relevance for the continuum
limit in four-dimensional quantum gravity.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th