  We present a new photometric search for high-z galaxies hosting Population
III (PopIII) stars based on deep intermediate-band imaging observations
obtained in the Subaru Deep Field (SDF), by using Suprime-Cam on the Subaru
Telescope. By combining our new data with the existing broad-band and
narrow-band data, we searched for galaxies which emit strongly both in Ly_alpha
and in HeII 1640 (``dual emitters'') that are promising candidates for
PopIII-hosting galaxies, at 3.93<z<4.01 and 4.57<z<4.65. Although we found 10
``dual emitters'', most of them turn out to be [OII]-[OIII] dual emitters or
H_beta-(H_alpha+[NII]) dual emitters at z<1, as inferred from their broad-band
colors and from the ratio of the equivalent widths. No convincing candidate of
Ly_alpha-HeII dual emitter of SFR_PopIII > 2 Msun/yr was found by our
photometric search in 4.03 x 10^5 Mpc^3 in the SDF. This result disfavors low
feedback models for PopIII star clusters, and implies an upper-limit of the
PopIII SFR density of SFRD_PopIII < 5 x 10^-6 Msun/yr/Mpc^3. This new selection
method to search for PopIII-hosting galaxies should be useful in future
narrow-band surveys to achieve the first observational detection of
PopIII-hosting galaxies at high redshifts.
