Isomorphism between super Yangian and quantum loop superalgebra. I

Following V. Toledano-Laredo and S. Gautam approach we construct isomorphism between super $\mathrm{\hslash }$-Yangian $Y_{\mathrm{\hslash }}(A(m,n))$ of special linear superalgebra and quantum loop superalgebra $U_{\mathrm{\hslash }}(LA(m,n))$.