Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton-
  $\sigma$ Models   We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$
model (EYMD-$\sigma$) on a static spacetime, showing that the Einstein
equations are satisfied if and only if the associated (conformally scaled)
three-metric is flat. These are precisely the static metrics for which
super-covariantly constant spinors exist. We study some general properties of
these equations and then consider the problem of obtaining axially symmetric
solutions for the gauge group SU(2).

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex