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arXiv · hep-th/0311166

Twists and singular vectors in ^sl(2|1) representations

AM Semikhatov·A Taormina
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Abstract

We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra $\hat{sl}(2|1)$. We analyze the coexistence of singular vectors of different types and identify the twisted modules $N_{h,k;θ}$ arising as submodules and quotient modules of $\hat{sl}(2|1)$ Verma modules. We show that with the twists (spectral flow transformations) properly taken into account, a resolution of irreducible representations can be constructed consisting of only the $N_{h,k;θ}$ modules.

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AM Semikhatov, A Taormina. 2003-11-18. Twists and singular vectors in ^sl(2|1) representations. https://arxiv.org/abs/hep-th/0311166

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