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Singular Vectors of the Topological Conformal Algebra | | A M Semikhatov
; I Yu Tipunin
; | | Date: |
16 Jan 1996 | | Journal: | Int.J.Mod.Phys. A11 (1996) 4597-4622 | | Abstract: | A general construction is found for `topological’ singular vectors of the twisted N=2 superconformal algebra. It demonstrates many parallels with the known construction for sl(2) singular vectors due to Malikov--Feigin--Fuchs, but is formulated independently of the latter. The two constructions taken together provide an isomorphism between topological and sl(2)- singular vectors. The general formula for topological singular vectors can be reformulated as a chain of direct recursion relations that allow one to derive a given singular vector S(r,s)> from the lower ones S(r,s’<s)>. We also introduce generalized Verma modules over the twisted N=2 algebra and show that they provide a natural setup for the new construction for topological singular vectors. | | Source: | arXiv, hep-th/9512079 | | Services: | Forum | Review | PDF | Favorites | |
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