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We report for the first time a relationship between galaxy kinematics and netLyman-alpha equivalent width (net Lya EW) in star forming galaxies during theepoch of peak cosmic star formation. Building on the previously reportedbroadband imaging segregation of Lya-emitting and Lya-absorbing Lyman breakgalaxies (LBGs) at z~2 (Paper I in this series) and previously at z~3, we usethe Lya spectral type classification method to study the relationship betweennet Lya EW and nebular emission-line kinematics determined from IFUspectroscopy. We show that z~2 and z~3 LBGs segregate in colour-magnitude spaceaccording to their kinematic properties and Lyman-alpha spectral type, andconclude that LBGs with Lya dominant in absorption are almost exclusivelyrotation-dominated (presumably disc-like) systems, and LBGs with Lya dominantin emission characteristically have dispersion-dominated kinematics. Wequantify the relationship between the strength of rotational dynamic supportand net Lya EW, and demonstrate the consistency of our result with otherproperties that scale with net Lya EW and kinematics. Based on these findings,we suggest a method by which large samples of rotation- anddispersion-dominated galaxies might be selected using broadband imaging in asfew as three filters and/or net Lya EW alone. Application of this method willenable an understanding of galaxy kinematic behaviour over large scales indatasets from current and future large-area and all-sky photometric surveysthat will select hundreds of millions of LBGs in redshift ranges from z~2-6across many hundreds to thousands of Mpc. Finally, we speculate that thecombination of our result linking net Lya EW and nebular emission-linekinematics with the known large-scale clustering behaviour of Lya-absorbing andLya-emitting LBGs is evocative of a nascent morphology-density relation atz~2-3.

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