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arXiv · hep-th/9212104

W-algebras with set of primary fields of dimensions (3, 4, 5) and (3,4,5,6)

K. Hornfeck
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Abstract

We show that that the Jacobi-identities for a W-algebra with primary fields of dimensions 3, 4 and 5 allow two different solutions. The first solution can be identified with WA_4. The second is special in the sense that, even though associative for general value of the central charge, null-fields appear that violate some of the Jacobi-identities, a fact that is usually linked to exceptional W-algebras. In contrast we find for the algebra that has an additional spin 6 field only the solution WA_5.

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K. Hornfeck. 1992-12-17. W-algebras with set of primary fields of dimensions (3, 4, 5) and (3,4,5,6). https://doi.org/10.1016/0550-3213(93)90281-s

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