All Singular Vectors of the N=2 Superconformal Algebra via the Algebraic Continuation Approach
| dc.creator | Semikhatov, A M | |
| dc.creator | Tipunin, I Yu | |
| dc.date | 1996-04-28 | |
| dc.date | 1998-08-29 | |
| dc.date.accessioned | 2026-07-07T09:04:20Z | |
| dc.date.available | 2026-07-07T09:04:20Z | |
| dc.description | We give general expressions for singular vectors of the N=2 superconformal algebra in the form of {\it monomials} in the continued operators by which the universal enveloping algebra of N=2 is extended. We then show how the algebraic relations satisfied by the continued operators can be used to transform the monomials into the standard Verma-module expressions. Our construction is based on continuing the extremal diagrams of N=2 Verma modules to the states satisfying the twisted \hw{} conditions with complex twists. It allows us to establish recursion relations between singular vectors of different series and at different levels. Thus, the N=2 singular vectors can be generated from a smaller set of the so-called topological singular vectors, which are distinguished by being in a 1:1 correspondence with singular vectors in affine sl(2) Verma modules. The method of `continued products' of fermions is a counterpart of the method of complex powers used in the constructions of singular vectors for affine Lie algebras. | |
| dc.description | LaTeX 2.09, 33pp | |
| dc.identifier | https://arxiv.org/abs/hep-th/9604176 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9604176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149337 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | All Singular Vectors of the N=2 Superconformal Algebra via the Algebraic Continuation Approach | |
| dc.type | text |