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arXiv · 0806.0190

Free field realization of current superalgebra $gl(m|n)_k$

Wen-Li Yang·Yao-Zhong Zhang·Xin Liu
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Abstract

We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra $gl(m|n)_k$ uniformly for $m=n$ and $m\neq n$. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of $gl(m|n)$.

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Wen-Li Yang, Yao-Zhong Zhang, Xin Liu. 2008-06-02. Free field realization of current superalgebra $gl(m|n)_k$. https://doi.org/10.1063/1.2739306

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