1201.4223 (Takeo Kojima)

Screenings and Vertex Operators of Quantum Superalgebra
$U_q(\hat{sl}(N|1))$    [PDF]

Takeo Kojima

We construct the screening currents of the quantum superalgebra
$U_q(\hat{sl}(N|1))$ for an arbitrary level $k \neq -N+1$. We show that these
screening currents commute with the superalgebra modulo total difference. We
propose bosonizations of the vertex operators by using the screening currents.
We check that these vertex operators are the intertwiners among the
Fock-Wakimoto representation and the typical representation for rank $N \leq
4$.

View original: http://arxiv.org/abs/1201.4223