2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52253We 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.amsart, times. 20ppHigh Energy Physics - Theorytext