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

Yao-Zhong Zhang; Mark D. Gould

doi:10.1063/1.533409

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

量子代数 2016-09-07 v1 数学物理 math.MP 表示论

作者: Yao-Zhong Zhang , Mark D. Gould

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摘要

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 $k=\alpha$ , where $\alpha\neq 0, -1$ is a complex parameter appearing in the 4-dimensional evaluation representations. They are intertwiners among the level- $\alpha$ 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.

关键词

quantum group representations vertex operator algebras operator theory

引用

@article{arxiv.math/9911058,
  title  = {$U_q[\hat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level},
  author = {Yao-Zhong Zhang and Mark D. Gould},
  journal= {arXiv preprint arXiv:math/9911058},
  year   = {2016}
}

备注

Latex file 18 pages

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

摘要

关键词

引用

备注

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