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arXiv · hep-th/9109010

W3 Constructions on Affine Lie Algebras

A. Deckmyn·S. Schrans
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Abstract

We use an argument of Romans showing that every Virasoro construction leads to realizations of $W_3$, to construct $W_3$ realizations on arbitrary affine Lie algebras. Solutions are presented for generic values of the level as well as for specific values of the level but with arbitrary parameters. We give a detailed discussion of the $\aff{su}(2)_\ell$-case. Finally, we discuss possible applications of these realizations to the construction of $W$-strings.

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A. Deckmyn, S. Schrans. 1991-09-16. W3 Constructions on Affine Lie Algebras. https://doi.org/10.1016/0370-2693(92)90521-5

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