W3 Constructions on Affine Lie Algebras

Details W3 Constructions on Affine Lie Algebras W3 Constructions on Affine Lie Algebras

1991-09-09

arxiv.org/abs/hep-th/9109010v2

Phys.Lett. B274 (1992) 186-190

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/0370-2693(92)90521-5

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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