Lyman-alpha at Cosmic Noon II: The relationship between kinematics and Lyman-alpha in z~2-3 Lyman Break Galaxies

We report for the first time a relationship between galaxy kinematics and net Lyman-alpha equivalent width (net Lya EW) in star forming galaxies during the epoch of peak cosmic star formation. Building on the previously reported broadband imaging segregation of Lya-emitting and Lya-absorbing Lyman break galaxies (LBGs) at z~2 (Paper I in this series) and previously at z~3, we use the Lya spectral type classification method to study the relationship between net Lya EW and nebular emission-line kinematics determined from IFU spectroscopy. We show that z~2 and z~3 LBGs segregate in colour-magnitude space according to their kinematic properties and Lyman-alpha spectral type, and conclude that LBGs with Lya dominant in absorption are almost exclusively rotation-dominated (presumably disc-like) systems, and LBGs with Lya dominant in emission characteristically have dispersion-dominated kinematics. We quantify the relationship between the strength of rotational dynamic support and net Lya EW, and demonstrate the consistency of our result with other properties that scale with net Lya EW and kinematics. Based on these findings, we suggest a method by which large samples of rotation- and dispersion-dominated galaxies might be selected using broadband imaging in as few as three filters and/or net Lya EW alone. Application of this method will enable an understanding of galaxy kinematic behaviour over large scales in datasets from current and future large-area and all-sky photometric surveys that will select hundreds of millions of LBGs in redshift ranges from z~2-6 across many hundreds to thousands of Mpc. Finally, we speculate that the combination of our result linking net Lya EW and nebular emission-line kinematics with the known large-scale clustering behaviour of Lya-absorbing and Lya-emitting LBGs is evocative of a nascent morphology-density relation at z~2-3.