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We present high resolution submillimeter interferometric imaging of two ofthe brightest high-redshift submillimeter galaxies known: GN20 and AzTEC1 at0.8 and 0.3 arcsec resolution respectively. Our data - the highest resolutionsubmillimeter imaging of high redshift sources accomplished to date - wascollected in three different array configurations: compact, extended, and veryextended. We derive angular sizes of 0.6 and 1.0 arcsec for GN20 and 0.3 and0.4 arcsec for AzTEC1 from modeling their visibility functions as a Gaussianand elliptical disk respectively. Because both sources are B-band dropouts,they likely lie within a relatively narrow redshift window around z~4, whichindicates their angular extent corresponds to physical scales of 4-8 and 1.5-3kpc respectively for the starburst region. By way of a series of simpleassumptions, we find preliminary evidence that these hyperluminous starbursts -with star formation rates >1000 $M_\odot$ yr$^{-1}$ - are radiating at or closeto their Eddington limit. Should future high resolution observations indicatethat these two objects are typical of a population of high redshiftEddington-limited starbursts, this could have important consequences for modelsof star formation and feedback in extreme environments.

The Physical Scale of the Far-Infrared Emission in the Most Luminous Submillimeter Galaxies