Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data

We introduce super Yangians of gl(V),sl(V) (in the new Drinfeld realization) associated with all Dynkin diagrams. We show that all of them are isomorphic to the super Yangians introduced by Nazarov (Lett Math Phys 21(2), 123-131, 1991), by identifying them with the corresponding RTT super Yangians. However, their "positive halves" are not pairwise isomorphic, and we obtain the shuffle algebra realizations for all of those in spirit of Tsymbaliuk (PBWD bases and shuffle algebra realizations for U-v(Lsl(n)),U-v1,(v2)(Lsl(n)),U-v(Lsl(m|n)) and their integral forms, preprint, ). We adapt the latter to the trigonometric setup by obtaining the shuffle algebra realizations of the "positive halves" of type A quantum loop superalgebras associated with arbitrary Dynkin diagrams.