Singular Vectors of the Topological Conformal Algebra

Details Singular Vectors of the Topological Conformal Algebra Singular Vectors of the Topological Conformal Algebra

1995-12-11

arxiv.org/abs/hep-th/9512079v3

Int.J.Mod.Phys. A11 (1996) 4597-4622

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 19 pages. Minor changes, making the paper identical to the one to be published in IJMPA

Scientific paper

10.1142/S0217751X96002133

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'. 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.

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