Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on natural inflation   In the so-called natural inflation, an axion-like inflaton is assumed to have
a cosine-type periodic potential. This is not the case in a very simple model
in which the axion-like inflaton is coupled to an SU(N) (or other) pure
Yang-Mills, at least in the large N limit as pointed out by Witten. It has a
multi-valued potential, which is effectively quadratic, i.e., there is only a
mass term in the large N limit. Thanks to this property, chaotic inflation can
be realized more naturally with the decay constant of the axion-like inflaton
less than the Planck scale. We demonstrate these points explicitly by using
softly broken ${\mathcal N}=1$ Super-Yang-Mills which allows us to treat finite
N. This analysis also suggests that moderately large gauge groups such as
$E_{8}$ are good enough with a Planck scale decay constant.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn