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Unitary representations of SW(3/2,2) superconformal algebra

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arxiv hep-th/0101116 v2 pith:NZU2746K submitted 2001-01-17 hep-th math-phmath.MP

Doron Gepner , Boris Noyvert This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords algebrarepresentationssuperconformalunitaryalgebrasapproachcalculatedcomplete
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SW(3/2,2) superconformal algebra is W algebra with two Virasoro operators. The Kac determinant is calculated and the complete list of unitary representations is determined. Two types of extensions of SW(3/2,2) algebra are discussed. A new approach to construction of W algebras from rational conformal field theories is proposed.

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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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