Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of the critical and supercritical Liouville quantum gravity
  metrics   We show that for each ${\mathbf c}_{\mathrm M} \in [1,25)$, there is a unique
metric associated with Liouville quantum gravity (LQG) with matter central
charge ${\mathbf c}_{\mathrm M}$. An earlier series of works by
Ding-Dub\'edat-Dunlap-Falconet, Gwynne-Miller, and others showed that such a
metric exists and is unique in the subcritical case ${\mathbf c}_{\mathrm M}
\in (-\infty,1)$, which corresponds to coupling constant $\gamma \in (0,2)$.
The critical case ${\mathbf c}_{\mathrm M} = 1$ corresponds to $\gamma=2$ and
the supercritical case ${\mathbf c}_{\mathrm M} \in (1,25)$ corresponds to
$\gamma \in \mathbb C$ with $|\gamma| = 2$.
  Our metric is constructed as the limit of an approximation procedure called
Liouville first passage percolation, which was previously shown to be tight by
Ding and Gwynne (2020). In this paper, we show that the subsequential limit is
uniquely characterized by a natural list of axioms. This extends the
characterization of the LQG metric proven by Gwynne and Miller (2019) for
$\mathbf c_{\mathrm M} \in (-\infty,1)$ to the full parameter range $\mathbf
c_{\mathrm M} \in (-\infty,25)$.
  Our argument is substantially different from the proof of the
characterization of the LQG metric for $\mathbf c_{\mathrm M} \in (-\infty,1)$.
In particular, the core part of the argument is simpler and does not use
confluence of geodesics.

15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics