A Note on Representations of N=2 SW-Algebras

R. Blumenhagen; R. Huebel

A Note on Representations of N=2 SW-Algebras

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arxiv hep-th/9407068 v1 pith:DV3UAZCE submitted 1994-07-13 hep-th

R. Blumenhagen , R. Huebel This is my paper · ORCID

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keywords superalgebrafindgeneratorsrepresentationsvirasorow-algebrasalgebras

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We investigate the representation theory of some recently constructed N=2 super W-algebras with two generators. Except for the central charges in the unitary minimal series of the N=2 super Virasoro algebra we find no new rational models. However, from our results it is possible to arrange all known N=2 super W-algebras with two generators and vanishing self-coupling constant into four classes. For the algebras existing for c >= 3 which can be understood by the spectral flow of the N=2 super Virasoro algebra we find that the representations have quantized U(1) charge.

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$\mathcal{SW}$-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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