Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Results for the Adsorption of a Flexible Self-Avoiding Polymer
  Chain in Two Dimensions   We derive the exact critical couplings ($x^*, y_{\rm a}^*$), where $y_{\rm
a}^*/x^* = \sqrt{1+\sqrt2} = 1.533\ldots\,$, for the polymer adsorption
transition on the honeycomb lattice, along with the universal critical
exponents, from the Bethe Ansatz solution of the O($n$) loop model at the
special transition. Our result for the thermal scaling dimension, and thus the
crossover exponent $\phi=\frac{1}{2}$, is in agreement with an earlier result
based on conformal invariance arguments. Our result for the geometric scaling
dimensions confirms recent conjectures that they are given by $h_{\ell+1,3}$ in
the Kac formula.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics