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

Takeo Kojima

doi:10.1063/1.4742125

paper

Screenings and Vertex Operators of Quantum Superalgebra $U_{q} (s l^(N ∣1))$

arXiv:1201.4223 · doi:10.1063/1.4742125

Abstract

We construct the screening currents of the quantum superalgebra $U_{q} (s l^(N ∣1))$ 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 $N \leq 4$ .

32 pages, LaTeX

References in corpus (1)

Free Field Realization of Quantum Affine Superalgebra $U_{q} (s l^(N ∣1))$

Screenings and Vertex Operators of Quantum Superalgebra Uq​(sl^(N∣1))

Abstract

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Screenings and Vertex Operators of Quantum Superalgebra $U_{q} (s l^(N ∣1))$