Singular Vectors of the Topological Conformal Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/9512079,
title = {Singular Vectors of the Topological Conformal Algebra},
author = {A M Semikhatov and I Yu Tipunin},
journal= {arXiv preprint arXiv:hep-th/9512079},
year = {2009}
}
Comments
LaTeX 2.09, 19 pages. Minor changes, making the paper identical to the one to be published in IJMPA