  No progenitor of a Type Ia supernova is known, but in old population
early-type galaxies, one may find SN Ia associated with globular clusters,
yielding a population age and metallicity. It also provides insight into the
formation path and the SN enhancement rate in globular clusters. We sought to
find such associations and identified SN 2019ein to be within the ground-based
optical positional uncertainty of a globular cluster candidate within the
early-type galaxy NGC 5353 at about 30 Mpc distance. We reduced the positional
uncertainties by obtaining Hubble Space Telescope images with the Advanced
Camera for Surveys, using filters F475W and F814W and obtained in June 2020. We
find that the globular cluster candidate has a magnitude, color, and angular
extent that are consistent with it being a typical globular cluster. The
separation between the globular cluster and SN 2019ein is 0.43'', or 59 pc in
projection. The chance occurrence with a random globular cluster is about 3%,
favoring but not proving an association. If the SN progenitor originated in the
globular cluster, one scenario is that SN 2019ein was previously a double
degenerate white dwarf binary that was dynamically ejected from the globular
cluster and exploded within 10 Myr; models do not predict this to be common.
Another, but less likely scenario is where the progenitor remained bound to the
globular cluster, allowing the double degenerate binary to inspiral on a much
longer timescale before producing a SN.
