Detectability of High-Redshift Superluminous Supernovae with Upcoming
  Optical and Near-Infrared Surveys - II. Beyond z=6
  Observational identification of the first stars is one of the great
challenges in the modern astronomy. Although a single first star is too faint
to be detected, supernova explosions of the first stars can be bright enough.
An important question is whether such supernovae can be detected in the limited
observational area with realistic observational resources. We perform detailed
simulations to study the detectability of superluminous supernovae (SLSNe) at
high redshifts, using the observationally-calibrated star formation rate
density and supernova occurrence rate. We show that a 100 deg^2 survey with the
limiting magnitude of 26 mag in near-infrared wavelengths will be able to
discover about 10 SLSNe at z > 10. If the survey is extended to 200 deg^2 with
27 mag depth, about 10 SLSNe can be discovered at z > 15. We emphasize that the
observations at > 3 um are crucial to detect and select SLSNe at z > 10. Our
simulations are also applied to the planned survey with Euclid, WFIRST, and
WISH. These surveys will be able to detect about 1000, 400, and 3000 SLSNe up
to z ~ 5, 7, and 12, respectively. We conclude that detection of SLSNe at z >
10 is in fact achievable in the near future.
