Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\widehat{gl(N\mathrm{\mid }N)}]$

Level-one representations of the quantum affine superalgebra $U_q[\widehat{gl(N\mathrm{\mid }N)}]$ associated to the appropriate non-standard system of simple roots and $q$-vertex operators (intertwining operators) associated with the level-one modules are constructed explicitly in terms of free bosonic fields.