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Until recently, determining the rotational properties of galaxies in theearly universe (z>4, Universe age <1.5Gyr) was impractical, with the exceptionof a few strongly lensed systems. Combining the high resolution and sensitivityof ALMA at (sub-) millimeter wavelengths with the typically high strength ofthe [CII] 158um emission line from galaxies and long-developed dynamicalmodeling tools raises the possibility of characterizing the gas dynamics inboth extreme starburst galaxies and normal star forming disk galaxies at z~4-7.Using a procedure centered around GIPSY's ROTCUR task, we have fit tilted ringmodels to some of the best available ALMA [CII] data of a small set ofgalaxies: the MS galaxies HZ9 & HZ10, the Damped Lyman-alpha Absorber (DLA)host galaxy ALMA J0817+1351, the submm galaxies AzTEC/C159 and COSMOSJ1000+0234, and the quasar host galaxy ULAS J1319+0950. This procedure directlyderives rotation curves and dynamical masses as functions of radius for eachobject. In one case, we present evidence for a dark matter halo of O(10^11)solar masses. We present an analysis of the possible velocity dispersions ofAzTEC/C159 and ULAS J1319+0950 based on matching simulated observations to theintegrated [CII] line profiles. Finally, we test the effects of observationresolution and sensitivity on our results. While the conclusions remain limitedat the resolution and signal-to-noise ratios of these observations, the resultsdemonstrate the viability of the modeling tools at high redshift, and theexciting potential for detailed dynamical analysis of the earliest galaxies, asALMA achieves full observational capabilities.

Dynamical Characterization of Galaxies at z~4-6 via Tilted Ring Fitting to ALMA [CII] Observations