Dynamical properties of <i>z</i> ∼4.5 dusty star-forming galaxies and their connection with local early-type galaxies

There is a large consensus that gas in high-$z$ galaxies highly turbulent, because of combination stellar feedback processes and gravitational instabilities driven by mergers accretion. In this paper, we present the analysis sample five Dusty Star Forming Galaxies (DSFGs) at $4 \lesssim z\lesssim 5$. Taking advantage magnifying power strong lensing, quantified their kinematic dynamical properties from ALMA observations [CII] emission line. We combined measurements obtained for these with those previous studies to build largest $z \sim 4.5$ high-quality data sub-kpc spatial resolutions, so far. found all are dynamically cold, rotation-to-random motion ratios, $V/\sigma$, between 7 15. The relation velocity dispersions star-formation rates indicates sufficient sustain turbulence within no further mechanisms needed. addition, performed rotation curve decomposition infer relative contribution baryonic (gas, stars) dark matter components total potentials. This allowed us compare structural studied DSFGs descendants, local early type galaxies. particular, out six show signature bulge, indicating spheroidal component already place 4.5$.