Brightest Cluster Galaxy Formation in the z=4.3 Protocluster SPT 2349-56: Discovery of a Radio-loud Active Galactic Nucleus

We have observed the z = 4.3 protocluster SPT2349-56 with the Australia Telescope Compact Array (ATCA) with the aim of detecting radio-loud active galactic nuclei (AGNs) among the similar to 30 submillimeter (submm) galaxies (SMGs) identified in the structure. We detect the central complex of submm sources at 2.2 GHz with a luminosity of L-2.2 = (4.42 +/- 0.56) x 10(25) W Hz(-1). MeerKAT and the Australian Square Kilometre Array Pathfinder also detect the source at 816 MHz and 888 MHz, respectively, constraining the radio spectral index to alpha = -1.45 +/- 0.16, implying L-1.4,L-rest = (2.2 +/- 0.2) x 10(26) W Hz(-1). The radio observations do not have sufficient spatial resolution to uniquely identify one of the three Atacama Large Millimeter/submillimeter Array (ALMA) galaxies as the AGN, however the ALMA source properties themselves suggest a likely host. This radio luminosity is similar to 100x higher than expected from star formation, assuming the usual far-infrared-radio correlation, indicating an AGN driven by a forming brightest cluster galaxy. None of the SMGs in SPT2349-56 show signs of AGNs in any other diagnostics available to us, highlighting the radio continuum as a powerful probe of obscured AGNs. We compare these results to field samples of radio sources and SMGs, along with the 22 gravitationally lensed SPT-SMGs also observed in the ATCA program, as well as powerful radio galaxies at high redshifts. The (3.3 +/- 0.7) x 10(38) W of power from the radio-loud AGN sustained over 100 Myr is comparable to the binding energy of the gas mass of the central halo, and similar to the instantaneous energy injection from supernova feedback from the SMGs in the core region. The SPT2349-56 radio-loud AGNs may be providing strong feedback on a nascent intracluster medium.