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We present deep Hubble Space Telescope imaging at the locations of four,potentially hostless, long-faded Type Ia supernovae (SNe Ia) in low-redshift,rich galaxy clusters that were identified in the Multi-Epoch Nearby ClusterSurvey. Assuming a steep faint-end slope for the galaxy cluster luminosityfunction ($\alpha_d=-1.5$), our data includes all but $\lesssim0.2\%$ percentof the stellar mass in cluster galaxies ($\lesssim0.005\%$ with$\alpha_d=-1.0$), a factor of 10 better than our ground-based imaging. Two ofthe four SNe Ia still have no possible host galaxy associated with them($M_R>-9.2$), confirming that their progenitors belong to the intraclusterstellar population. The third SNe Ia appears near a faint disk galaxy($M_V=-12.2$) which has a relatively high probability of being a chancealignment. A faint, red, point source coincident with the fourth SN Ia'sexplosion position ($M_V=-8.4$) may be either a globular cluster (GC) or faintdwarf galaxy. We estimate the local surface densities of GCs and dwarfs to showthat a GC is more likely, due to the proximity of an elliptical galaxy, butneither can be ruled out. This faint host implies that the SN Ia rate in dwarfsor GCs may be enhanced, but remains within previous observational constraints.We demonstrate that our results do not preclude the use of SNe Ia as brighttracers of intracluster light at higher redshifts, but that it will benecessary to first refine the constraints on their rate in dwarfs and GCs withdeep imaging for a larger sample of low-redshift, apparently hostless SNe Ia.

Confirmation of Hostless Type Ia Supernovae Using Hubble Space Telescope Imaging