On explicit free field realizations of current algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 25 pages

Scientific paper

10.1016/j.nuclphysb.2008.02.011

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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