U q [ sl(2|1) ^ ] Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
Abstract
Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra
U
q
[
sl(2|1)
^
]
are constructed for arbitrary level
k=α
, where
α≠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
[
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.