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

Yao-Zhong Zhang·Mark D. Gould
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Abstract

Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra $U_q[\hat{sl(2|1)}]$ 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 $U_q[\hat{sl(2|1)}]$ up to total differences are presented. Integral formulae for N-point functions of type I and type II q-vertex operators are proposed.

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Yao-Zhong Zhang, Mark D. Gould. 1999-11-10. $U_q[\hat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level. https://doi.org/10.1063/1.533409

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