N=2 supersymmetric W-algebras

Ralph Blumenhagen

N=2 supersymmetric W-algebras

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arxiv hep-th/9208069 v1 pith:3W6BH74H submitted 1992-08-27 hep-th

Ralph Blumenhagen This is my paper · ORCID

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keywords superadditionalsupersymmetricw-algebrasalgebraalgebraschargeclassification

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abstract

We investigate extensions of the N=2 super Virasoro algebra by one additional super primary field and its charge conjugate. Using a supersymmetric covariant formalism we construct all N=2 super W-algebras up to spin 5/2 of the additional generator. Led by these first examples we close with some conjectures on the classification of N=2 ${\cal SW}(1,\Dt)$ algebras.

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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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