STAR FORMATION BLACK HOLE GROWTH AND DUSTY TORI IN THE MOST LUMINOUS AGNS AT Z=2-3.5

We report Herschel/SPIRE observations of 100 very luminous, optically selected active galactic nuclei (AGNs) at z = 2-3.5 with log L-1350 (erg s(-1)) >= 46.5, where L1350 is ALA at 1350 A. The distribution in L1350 is similar to the general distribution of Sloan Digital Sky Survey AGNs in this redshift and luminosity interval. We measured star formation (SF) luminosity, L-SF, and SF rate (SFR) in 34 detected sources by fitting combined SF and torus templates, where the torus emission is based on Wide Field Infrared Survey Explorer observations. We also obtained statistically significant stacks for the undetected sources in two luminosity groups. The sample properties are compared with those of very luminous AGNs at z > 4.5. The main findings are: (1) The mean and the median SFRs of the detected sources are 1176+(476)(-339) and 1010(-503)(+706) M-circle dot yr(-1), respectively. The mean SFR of the undetected sources is 148 M-circle dot yr(-1). The ratio of SFR to the black hole accretion rate is X80 for the detected sources and less than 10 for the undetected sources. Unlike a sample of sources at z similar or equal to 4.8 that we studied recently, there is no difference in LAGN and only a very small difference in Ltorus between the detected and undetected sources. (2) The redshift distribution of LsF and LAGN for the most luminous, redshift 2-7 AGNs are different. Similar to previous studies, the highest LAGN are found at z approximate to 3. However, the LsF of such sources peaks at z approximate to 5. Assuming the objects in our sample are hosted by the most massive galaxies at those redshifts, we find that approximately 2/3 of the hosts are already below the main sequence of SF galaxies at z = 2-3.5. (3) The spectral energy distributions (SEDs) of dusty Lori at high redshift are similar to the shapes found in low redshift, low luminosity AGNs. Herschel upper limits put strong constraints on the long wavelength shape of the SED, ruling out several earlier suggested torus templates as applicable for this sample. (4) We find no evidence for a luminosity dependence of the torus covering factor in sources with log L-AGN (erg s(-1)) = 44-47.5. This conclusion is based on the recognition that the estimated L-AGN in several earlier studies is highly uncertain and non-uniformally treated. The median covering factors over this range are 0.68 for isotropic dust emission and 0.4 for anisotropic emission.