Jacobi-Trudi Identity and Drinfeld Functor for Super Yangian

We show that the quantum Berezinian that gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian Y(gl(m vertical bar n)) can be written as a ratio of two difference operators of orders m and n whose coefficients are ratios of transfer matrices corresponding to explicit skew Young diagrams. In the process, we develop several missing parts of the representation theory of Y(gl(m vertical bar n)) such as q-character theory, Jacobi-Trudi identity, Drinfeld functor, extended T-systems, and Harish-Chandra map.