Out of the Swampland with Multifield Quintessence?
  Multifield models with a curved field space have already been shown to be
able to provide viable quintessence models for steep potentials that satisfy
swampland bounds. The simplest dynamical systems of this type are obtained by
coupling Einstein gravity to two scalar fields with a curved field space. In
this paper we study the stability properties of the non-trivial fixed points of
this dynamical system for a general functional dependence of the kinetic
coupling function and the scalar potential. We find the existence of
non-geodesic trajectories with a sharp turning rate in field space which can
give rise to late-time cosmic acceleration with no need for flat potentials. In
particular, we discuss the properties of the phase diagram of the system and
the corresponding time evolution when varying the functional dependence of the
kinetic coupling. Interestingly, upon properly tuning the initial conditions of
the field values, we find trajectories that can describe the current state of
the universe. This could represent a promising avenue to build viable
quintessence models out of the swampland if they could be consistently embedded
in explicit string constructions.
