SMA observations on faint Submillimeter Galaxies with S${}_{850}$ < 2 mJy: Ultra Dusty Low-Luminosity Galaxies at High Redshift

We obtained SMA observations of eight faint (intrinsic 850 $\mu$m fluxes $<$ 2 mJy) submillimeter galaxies (SMGs) discovered in SCUBA images of the massive lensing cluster fields A370, A2390, and A1689 and detected five. In total, we obtain 5 SMA detections, all of which have de-lensed fluxes $<$1 mJy with estimated total infrared luminosities 10${}^{10}-{10}^{12}$ $L_{\odot }$, comparable to luminous infrared galaxies (LIRGs) and normal star-forming galaxies. Based on the latest number counts, these galaxies contribute $\sim$70% of the 850 $\mu$m extragalactic background light and represent the dominant star-forming galaxy population in the dusty universe. However, only 40${}_{-16}^{+30}$% of our faint SMGs would be detected in deep optical or near-infrared surveys, which suggests many of these sources are at high redshifts ($z\gtrsim 3$) or extremely dusty, and they are not included in current star formation history estimates.