Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal invariance of boundary touching loops of FK Ising model   In this article we show the convergence of a loop ensemble of interfaces in
the FK Ising model at criticality, as the lattice mesh tends to zero, to a
unique conformally invariant scaling limit. The discrete loop ensemble is
described by a canonical tree glued from the interfaces, which then is shown to
converge to a tree of branching SLEs. The loop ensemble contains unboundedly
many loops and hence our result describes the joint law of infinitely many
loops in terms of SLE type processes, and the result gives the full scaling
limit of the FK Ising model in the sense of random geometry of the interfaces.
  Some other results in this article are convergence of the exploration process
of the loop ensemble (or the branch of the exploration tree) to
SLE$(\kappa,\kappa-6)$, $\kappa=16/3$, and convergence of a generalization of
this process for $4$ marked points to SLE$[\kappa,Z]$, $\kappa=16/3$, where $Z$
refers to a partition function. The latter SLE process is a process that can't
be written as a SLE$(\kappa,\rho_1,\rho_2,\ldots)$ process, which are the most
commonly considered generalizations of SLEs.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom