Bosonization of Superalgebra U_q(sl(N1)) for an arbitrary level

摘要

We give a bosonization of the quantum affine superalgebra U_q(sl(N|1)) for an arbitrary level k ∈ C. The bosonization of level k ∈ C is completely different from those of level k = 1. From this bosonization, we induce the Wakimoto realization whose character coincides with those of the Verma module. We give the screening that commute with U_q(sl(N|1)). Using this screening, we propose the vertex operator that is the intertwiner among the Wakimoto realization and typical realization. We study non-vanishing property of the correlation function defined by a trace of the vertex operators.