Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with
  boundary   The non-local generalized two dimensional Yang Mills theories on an arbitrary
orientable and non-orientable surfaces with boundaries is studied. We obtain
the effective action of these theories for the case which the gauge group is
near the identity, $U\simeq I$. Furthermore, by obtaining the effective action
at the large-N limit, it is shown that the phase structure of these theories is
the same as that obtain for these theories on orientable and non-orientable
surface without boundaries. It is seen that the $\phi^2$ model of these
theories on an arbitrary orientable and non-orientable surfaces with boundaries
have third order phase transition only on $g=0$ and $r=1$ surfaces, with
modified area $\tilde{A}+{\cal A}/2$ for orientable and $\bar{A}+\mathcal{A}$
for non-orientable surfaces respectivly.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an