Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of soliton and hairy black hole solutions of su(N)
  Einstein-Yang-Mills theory with a negative cosmological constant   We study the existence of soliton and black hole solutions of
four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological
constant. We prove the existence of non-trivial solutions for any integer N,
with N-1 gauge field degrees of freedom. In particular, we prove the existence
of solutions in which all the gauge field functions have no zeros. For fixed
values of the parameters (at the origin or event horizon, as applicable)
defining the soliton or black hole solutions, if the magnitude of the
cosmological constant is sufficiently large, then the gauge field functions all
have no zeros. These latter solutions are of special interest because at least
some of them will be linearly stable.

27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat