Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational symmetries and superintegrability in multifield cosmology   We consider a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker
background space with an ideal gas and a multifield Lagrangian consisting of
two minimally coupled scalar fields which evolve in a field space of constant
curvature. For this cosmological model we classify the potential function for
the scalar fields such that variational point symmetries exist. The
corresponding conservation laws are calculated. Finally, analytic solutions are
presented for specific functional forms of the scalar field potential in which
the cosmological field equations are characterized as a Liouville integrable
system by point symmetries. The free parameters of the cosmological model are
constrained in order to describe analytic solutions for an inflationary epoch.
Finally, stability properties of exact closed-form solutions are investigated.
These solutions are scaling solutions with important physical properties for
the cosmological model.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int