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

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

2003-11-18

arxiv.org/abs/hep-th/0311166v1

Theor.Math.Phys. 128 (2001) 1236-1251

Physics

High Energy Physics

High Energy Physics - Theory

amsart, times. 20pp

Scientific paper

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 $N_{h,k;\theta}$ 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 $N_{h,k;\theta}$ modules.

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