On explicit free field realizations of current algebras

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.

Latex file, 25 pages

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Cited by in corpus (4)

• More on Affine Dynkin Quiver Yangians
• Differential operator realizations of superalgebras and free field representations of corresponding current algebras
• Free field realization of the $osp(2n|2n)$ current algebra
• The elliptic quantum algebra $U_{q,p}(\widehat{s{l}_N})$ and its vertex operators