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New N=1 Extended Superconformal Algebras with Two and Three Generators

R. Blumenhagen·W. Eholzer·A. Honecker·R. Huebel
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Abstract

In this paper we consider extensions of the super Virasoro algebra by one and two super primary fields. Using a non-explicitly covariant approach we compute all SW-algebras with one generator of dimension up to 7 in addition to the super Virasoro field. In complete analogy to W-algebras with two generators most results can be classified using the representation theory of the super Virasoro algebra. Furthermore, we find that the SW(3/2, 11/2)-algebra can be realized as a subalgebra of SW(3/2, 5/2) at c = 10/7. We also construct some new SW-algebras with three generators, namely SW(3/2, 3/2, 5/2), SW(3/2, 2, 2) and SW(3/2, 2, 5/2).

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R. Blumenhagen, W. Eholzer, A. Honecker, R. Huebel. 1992-07-22. New N=1 Extended Superconformal Algebras with Two and Three Generators. https://doi.org/10.1142/s0217751x92003550

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