$U_q[\hat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level

Yao-Zhong Zhang; Mark D. Gould

doi:10.1063/1.533409

paper

$U_{q} [s l (2∣1)^]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level

arXiv:math/9911058 · doi:10.1063/1.533409

Abstract

Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra $U_{q} [s l (2∣1)^]$ are constructed for arbitrary level $k = α$ , where $α \neq = 0, - 1$ is a complex parameter appearing in the 4-dimensional evaluation representations. They are intertwiners among the level- $α$ highest weight Fock-Wakimoto modules. Screen currents which commute with the action of $U_{q} [s l (2∣1)^]$ up to total differences are presented. Integral formulae for N-point functions of type I and type II q-vertex operators are proposed.

Latex file 18 pages

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Cited by in corpus (4)

Elliptic Deformed Superalgebra $u_{q, p} (s l^(M ∣ N))$
Free Field Realization of Quantum Affine Superalgebra $U_{q} (s l^(N ∣1))$
Screenings and Vertex Operators of Quantum Superalgebra $U_{q} (s l^(N ∣1))$
Commutation relations of vertex operators for $U_{q} (s l (M ∣ N))$

Uq​[sl(2∣1)^​] Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level

Abstract

References in corpus (5)

Cited by in corpus (4)

$U_{q} [s l (2∣1)^]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level