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Using the first 50% of data collected for the Spitzer Large Area Survey withHyper-Suprime-Cam (SPLASH) observations on the 1.8 deg$^2$ CosmologicalEvolution Survey (COSMOS) we estimate the masses and star formation rates of3398 $M_*>10^{10}M_\odot $ star-forming galaxies at $4 < z < 6$ with asubstantial population up to $M_* \gtrsim 10^{11.5} M_\odot$. We find that thestrong correlation between stellar mass and star formation rate seen at lowerredshift (the "main sequence" of star-forming galaxies) extends to $z\sim6$.The observed relation and scatter is consistent with a continued increase instar formation rate at fixed mass in line with extrapolations fromlower-redshift observations. It is difficult to explain this continuedcorrelation, especially for the most massive systems, unless the most massivegalaxies are forming stars near their Eddington-limited rate from their firstcollapse. Furthermore, we find no evidence for moderate quenching at highermasses, indicating quenching either has not occurred prior to $z \sim 6$ orelse occurs rapidly, so that few galaxies are visible in transition betweenstar-forming and quenched.

Star Formation at $4 < z < 6$ From the Spitzer Large Area Survey with Hyper-Suprime-Cam (SPLASH)