Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules
| dc.creator | Semikhatov, A M | |
| dc.creator | Sirota, V A | |
| dc.date | 1997-12-09 | |
| dc.date.accessioned | 2026-07-07T04:23:56Z | |
| dc.date.available | 2026-07-07T04:23:56Z | |
| dc.description | We classify and explicitly construct the embedding diagrams of Verma modules over the N=2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution consists in drawing the distinction between two different types of submodules appearing in N=2 Verma modules. The problem is simplified by associating to every N=2 Verma module a relaxed Verma module over the affine algebra ^sl(2) with an isomorphic embedding diagram. We then make use of the mechanism according to which the structure of the N=2/relaxed-sl(2) embedding diagrams can be found knowing the standard embedding diagrams of ^sl(2) Verma modules. The resulting classification of the N=2/relaxed-^sl(2) embedding diagrams follows the I-II-III pattern extended by an additional indication of the number (0, 1, or 2) and the twists of the standard ^sl(2) embedding diagrams contained in a given N=2/relaxed-^sl(2) embedding diagram. | |
| dc.description | LaTeX 2.09, 52pp | |
| dc.identifier | https://arxiv.org/abs/hep-th/9712102 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9712102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55228 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules | |
| dc.type | text |