Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation and $O(1)$ loop model   We present an "ultimate" proof of Cardy's formula for the critical
percolation on the hexagonal lattice \cite{Smirnov01criticalpercolation},
showing the existence of the universal and conformally invariant scaling limit
of crossing probabilities. The new approach is more conceptual, less
technically demanding, and is amenable to generalizations.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio