| Abstract |
Understanding the nature of dark energy and resolving the persistent tension in the Hubble constant (H₀) are central challenges in modern cosmology. While the Nancy Grace Roman Space Telescope will deliver transformative cosmological constraints, they require the full mission and will contain significant astrophysical systematics (e.g., dust for Type Ia supernovae). Strongly lensed, multiply imaged supernovae (glSNe) provide a powerful and fully independent cosmological probe by measuring angular diameter distances through time-delay cosmography, with systematics distinct from SN Ia luminosity distances. We propose to exploit the unique capabilities of the Roman High Latitude Time-Domain Survey (HLTDS) to discover and analyze the first statistical sample of galaxy-scale glSNe. Based on survey forecasts, we expect ~22 systems within the first two years, each enabling a cosmological measurement from exquisite Roman data alone. The combination of high-cadence, multi-band near-infrared imaging and precise astrometry will yield time-delay measurements with ~1 day precision and robust mass models. Critically, the cosmological constraints from glSNe are highly complementary to those from SNe and weak lensing, offering a stringent cross-check on potential systematics and enabling a more robust determination of the dark energy equation of state. Alone, this sample will deliver a >5σ independent test of the H₀ tension, and combined with existing probes improve current dark energy constraints by a factor of ~2. Finally, this program will establish the foundation of a complete Roman HLTDS glSN sample (~70 systems), creating a legacy dataset that anchors time-delay cosmography as a premier probe of fundamental physics in the Roman era. |