Abstract

Ultra-luminous quasars (M1450≤−29M_{1450} \leq -29) provide us with a rare view into the nature of the most massive and most rapidly accreting supermassive black holes (SMBHs). Following the discovery of two of these extreme sources, J0341+{+}1720 (M1450=−29.56M_{1450}=-29.56, z=3.71z=3.71) and J2125−{-}1719 (M1450=−29.39M_{1450}=-29.39, z=3.90z=3.90), in the Extremely Luminous Quasar Survey (ELQS) and its extension to the Pan-STARRS\,1 footprint (PS-ELQS), we herein present an analysis of their rest-frame UV to optical spectroscopy. Both quasars harbor very massive SMBHs with MBH=6.73−0.83+0.75×109 M⊙M_{\rm{BH}}=6.73_{-0.83}^{+0.75}\times10^{9}\,M_{\odot} and MBH=5.45−0.55+0.60×109 M⊙M_{\rm{BH}}=5.45_{-0.55}^{+0.60}\times10^{9}\,M_{\odot}, respectively, showing evidence of accretion above the Eddington limit (Lbol/LEdd=2.74−0.27+0.39L_{\rm{bol}}/L_{\rm{Edd}}=2.74_{-0.27}^{+0.39} and Lbol/LEdd=3.01−0.30+0.34L_{\rm{bol}}/L_{\rm{Edd}}=3.01_{-0.30}^{+0.34}). NOEMA 3 millimeter observations of J0341+{+}1720 reveal a highly star-forming (SFR≈1500 M⊙ yr−1\rm{SFR}\approx1500\,M_{\odot}\,\rm{yr}^{-1}), ultra-luminous infrared galaxy (LTIR≈1.0×1013 L⊙L_{\rm{TIR}}\approx1.0\times10^{13}\,L_{\odot}) host, which, based on an estimate of its dynamical mass, is only ∼30{\sim}30 times more massive than the SMBH it harbors at its center. As examples of luminous super-Eddington accretion, these two quasars provide support for theories, which explain the existence of billion solar mass SMBHs ∼700{\sim}700 million years after the Big Bang by moderate super-Eddington growth from standard SMBH seeds.

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