Twists and singular vectors in sl(2|1) representations
AM Semikhatov, A Taormina
Abstract
We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra sl(2|1). We analyze the coexistence of singular vectors of different types and identify the twisted modules Nh,k;θ arising as submodules and quotient modules of 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 Nh,k;θ modules.
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