Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is negative-weight percolation compatible with SLE?   We study numerically the geometrical properties of minimally weighted paths
that appear in the negative-weight percolation (NWP) model on two-dimensional
lattices assuming a combination of periodic and free boundary conditions (BCs).
Each realization of the disorder consists of a random fraction 1-rho of bonds
with unit strength and a fraction rho of bond strengths drawn from a Gaussian
distribution with zero mean and unit width. For each such sample, the path is
forced to span the lattice along the direction with the free BCs. The path and
a set of negatively weighted loops form a ground state (GS). A ground state on
such a lattice can be determined performing a non-trivial transformation of the
original graph and applying sophisticated matching algorithms. Here we examine
whether the geometrical properties of the paths are in accordance with
predictions of Schramm-Loewner evolution (SLE). Measuring the fractal dimension
and reviewing Schramm's left passage formula indicates that the paths cannot be
described in terms of SLE.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin