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The quantum group structure associated with non-linearly extended Virasoro algebras

1990; Springer Science+Business Media; Volume: 134; Issue: 3 Linguagem: Inglês

10.1007/bf02098449

ISSN

1432-0916

Autores

E. Cremmer, Jean-Loup Gervais,

Tópico(s)

Black Holes and Theoretical Physics

Resumo

Recently, an infinite family of chiral Virasoro vertex operators, whose exchange algebra is given by the universalR-matrix ofSL(2) q , has been constructed. In the present paper, the case of non-linearly (W-) extended Virasoro symmetries, related to the algebrasA N,N>1, is considered along the same line. Contrary to the previous case (A 1) the standardR-matrix ofSL(N+1)q does not come out, and a different solution of Yang and Baxter's equations is derived. The associated quantum group structure is displayed.

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