  This paper investigates various geometrical properties of interfaces of the
two-dimensional voter model. Despite its simplicity, the model exhibits dual
characteristics, resembling both a critical system with long-range
correlations, while also showing a tendency towards order similar to the
Ising-Glauber model at zero temperature. This duality is reflected in the
geometrical properties of its interfaces, which are examined here from the
perspective of Schramm-Loewner evolution. Recent studies have delved into the
geometrical properties of these interfaces within different lattice geometries
and boundary conditions. We revisit these findings, focusing on a system within
a box of linear size $L$ with Dobrushin boundary conditions, where values of
the spins are fixed to either $+1$ or $-1$ on two distinct halves of the
boundary, in order to enforce the presence of a pinned interface with fixed
endpoints (or chordal interface). We also expand the study to compare the
geometrical properties of the interfaces of the voter model with those of the
critical Ising model and other related models. Scaling arguments and numerical
studies suggest that, while locally the chordal interface of the voter model
has fractal dimension $d_{\rm f}=3/2$, corresponding to a parameter $\kappa=4$,
it becomes straight at large scales, confirming a conjecture made by Holmes et
al \cite{holmes}, and ruling out the possibility of describing the chordal
interface of the voter model by SLE$_{\kappa}$, for any non zero value of
$\kappa$. This contrasts with the critical Ising model, which is described by
SLE$_3$, and whose interface fluctuations remain of order $L$, and more
generally with related critical models, which are in the same universality
class.
