Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction to the Liouville quantum gravity metric   Liouville quantum gravity (LQG) is a one-parameter family of models of random
fractal surfaces which first appeared in the physics literature in the 1980s.
Recent works have constructed a metric (distance function) on an LQG surface.
We give an overview of the construction of this metric and discuss some of its
most important properties, such as the behavior of geodesics and the KPZ
formula. We also discuss some of the main techniques for proving statements
about the LQG metric, give examples of their use, and discuss some open
problems.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con