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

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dc.creatorSemikhatov, AM
dc.creatorTaormina, A
dc.date2003-11-18
dc.date.accessioned2026-07-07T04:16:11Z
dc.date.available2026-07-07T04:16:11Z
dc.descriptionWe 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.
dc.descriptionamsart, times. 20pp
dc.identifierhttps://arxiv.org/abs/hep-th/0311166
dc.identifierhttp://arxiv.org/abs/hep-th/0311166
dc.identifierTheor.Math.Phys. 128 (2001) 1236-1251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52253
dc.subjectHigh Energy Physics - Theory
dc.titleTwists and singular vectors in ^sl(2|1) representations
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