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

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

2012-01-20

arxiv.org/abs/1201.4223v2

Mathematics

Quantum Algebra

32 pages, LaTeX

Scientific paper

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 $N \leq 4$.

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