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

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arxiv hep-th/9207072 v1 pith:32E2QOY7 submitted 1992-07-22 hep-th gr-qc

R. Blumenhagen , W. Eholzer , A. Honecker , R. Huebel This is my paper · ORCID
classification hep-thgr-qc
keywords superalgebrageneratorsvirasorosw-algebrasthreeadditionalgebras
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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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  1. $\mathcal{SW}$-algebras and strings with torsion

    hep-th 2024-12 conditional novelty 6.0 of 10

    For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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