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

2003/11/18 by AM Semikhatov, A Taormina
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 128 (2001) 1236-1251 · amsart, times. 20pp

arxiv created 2003/11/18 · arxiv updated 2009/12/01

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 N_h,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 N_h,k;θ modules.

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