Detecting strongly lensed supernovae at z ~ 5-7 with LSST
  Supernovae (SNe) could be powerful probes of the properties of stars and
galaxies at high redshifts in future surveys. Wide fields and longer exposure
times are required to offset diminishing star formation rates and lower fluxes
to detect useful numbers of events at high redshift. In principle, the Large
Synoptic Survey Telescope (LSST) could discover large numbers of early SNe
because of its wide fields but only at lower redshifts because of its AB mag
limit of ~ 24. But gravitational lensing by galaxy clusters and massive
galaxies could boost flux from ancient SNe and allow LSST to detect them at
earlier times. Here, we calculate detection rates for lensed SNe at z ~ 5 - 7
for LSST. We find that the LSST Wide Deep Fast survey could detect up to 120
lensed Population (Pop) I and II SNe but no lensed Pop III SNe. Deep-drilling
programs in a single 10 square degree FoV could detect Pop I and II
core-collapse SNe and Pop III pair-instability SNe at AB magnitudes of 27 - 28
and 26, respectively. An alternative deep survey over 80 nights with a one-year
cadence could find ~ 8 Pop III SNe.
