The possible existence of a continuum encompassing the diversity of explosive stellar deaths, ranging from ordinary supernovae (SNe; lacking any sign of a relativistic outflow) to relativistic hypernovae associated with energetic long duration gamma-ray bursts (GRBs), is under intense debate. In this context, the supernova
SN2008D associated with the X-ray transient
XRF 080109{(XT) 080109} could represent a paradigmatic case, since it might exemplify a potential borderline transition event. Optical polarimetric studies could contribute to shed light on the different interpretations given in the literature for this supernova (hereafter,
SN2008D/XT080109). The main aim is to infer geometric information of SN2008D/XT080109 through the study of the evolution of its linear optical polarization. We also report the polarization evolution of
SN2007uy, and discuss the properties of the host galaxy interstellar medium (ISM) towards the XT. The final goal is to compare the polarization properties, and therefore the geometries, of both SNe.We present a V-band linear polarization monitoring campaign carried out for
SN2008D/XT080109 and
SN2007uy, which shone for weeks contemporaneously in
NGC2770. This fortunate coincidence brought us the opportunity to observe both objects simultaneously, and most importantly, with identical instrumental setups. The observations span 74.9 days, starting 3.6 days after the XT and are distributed in 11 visits. In addition we performed observations in the millimetre (mm) range in order to identify the dominant origin of the observed polarization. We report positive linear polarization detections at several epochs for
SN2008D/XT080109 at a level of ∼1%. For
SN2007uy the measured polarization is around ∼1.5%. In both cases the observed linear polarization seems dominated by the host galaxy interstellar polarization (HGIP), especially for the case of
SN2007uy.
SN2007uy shows Stokes parametres consistent with no time evolution, which could be described by the HGIP plus a constant eccentricity expansion on the sky plane. Over the course of our observations of
SN2007uy, we find that its total polarization signal does not change by more than 0.29% with a 90% confidence interval. Despite the dominant HGIP, a statistical analysis of the distribution of the
SN2008D/XT080109 Stokes parametres suggests that it could show a possible intrinsic variable polarization component. Moreover, assuming the polarization signal from
SN2007uy is constant, we find that the temporal evolution of the intrinsic
SN2008D/XT080109 polarization could be explained by an aspherical axisymmetric expansion with variable eccentricity, although other more complex geometric scenarios are also compatible with the data. We come to the same result even if we make no assumption on the
SN2007uy Stokes parametres, although at a lower significance level. We conclude that the data seem to suggest a potential symmetry axis for
SN2008D/XT080109, which is reinforced when
SN2007uy is assumed to have constant Stokes parametres and used as reference star. We suggest that at least the projected, if not the intrinsic, geometry of
SN2008D/XT080109 and
SN2007uy could be different.
