Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The critical surface fugacity of self-avoiding walks on a rotated
  honeycomb lattice   In a recent paper by Beaton et al, it was proved that a model of
self-avoiding walks on the honeycomb lattice, interacting with an impenetrable
surface, undergoes an adsorption phase transition when the surface fugacity is
$1+\sqrt{2}$. Their proof used a generalisation of an identity obtained by
Duminil-Copin and Smirnov, and confirmed a conjecture of Batchelor and Yung. We
consider a similar model of self-avoiding walk adsorption on the honeycomb
lattice, but with the lattice rotated by $\pi/2$. For this model there also
exists a conjecture for the critical surface fugacity, made in 1998 by
Batchelor, Bennett-Wood and Owczarek. Using similar methods to Beaton et al, we
prove that this is indeed the critical fugacity.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs