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arXiv · 0806.1996

On explicit free field realizations of current algebras

Wen-Li Yang·Yao-Zhong Zhang
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Abstract

We construct the explicit free field representations of the current algebras $so(2n)_k$, $so(2n+1)_k$ and $sp(2n)_k$ for a generic positive integer $n$ and an arbitrary level $k$. The corresponding energy-momentum tensors and screening currents of the first kind are also given in terms of free fields.

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Wen-Li Yang, Yao-Zhong Zhang. 2008-06-12. On explicit free field realizations of current algebras. https://doi.org/10.1016/j.nuclphysb.2008.02.011

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