sl(2|1)] Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level

نویسندگان

  • Yao-Zhong Zhang
  • Mark D. Gould
چکیده

Bosonized q-vertex operators related to the 4-dimensional evaluation modules of the quantum affine superalgebra Uq[ ̂ sl(2|1)] are constructed for arbitrary level k = α, where α 6= 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 Uq[ ̂ 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. Mathematics Subject Classifications (1991): 17B37, 81R10, 81R50, 16W30 Zhang et al: Vertex Operators, Screen Currents and Correlation Functions 1

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تاریخ انتشار 1999