Geodesic
Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 3, pp. 474-491

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We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra $\widehat{s\ell}(2|1)$. We analyze the coexistence of singular vectors of different types and identify the twisted modules arising as submodules and quotient modules of $\widehat{s\ell}(2|1)$ 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 $\mathscr N_{h,k;\theta}^\pm$ modules. 
@article{TMF_2001_128_3_a11,
     author = {A. M. Semikhatov and A. Taormina},
     title = {Twists and {Singular} {Vectors} in $\widehat{s\ell}(2|1)$ {Representations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {474--491},
     publisher = {mathdoc},
     volume = {128},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a11/}
}
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A. M. Semikhatov; A. Taormina. Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 3, pp. 474-491. http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a11/