On the operator content of nilpotent orbifold models
| dc.creator | Dong, Chongying | |
| dc.creator | Mason, Geoffrey | |
| dc.date | 1994-12-12 | |
| dc.date.accessioned | 2026-07-07T09:14:29Z | |
| dc.date.available | 2026-07-07T09:14:29Z | |
| dc.description | Let $V$ be a simple vertex operator algebra and $G$ be a finite nilpotent group of automorphisms of $V.$ We prove the following in this paper: (1) There is a Galois correspondence between subgroups of $G$ and the vertex operator subalgebras of $V$ which contain $V^G$ given by the map $H\mapsto V^H.$ (2) Assume that for every G\in G$ there is unique simple $g$-twisted $V$-module $M(g).$ Then there exists a Hochschild 3-cocycle $α$ on the integral group $Z[G]$ such that there is an equivalence of categories between $V^G$-module category (whose objects are $V^G$-submodules of direct sums of copies of $\oplus_{g\in G}M(g),$ and whose morphisms are $V^G$-module homomorphisms) and the module category for the twisted quantum double $D_α(G)$ associated to $α.$ | |
| dc.description | 26 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/hep-th/9412109 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9412109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152686 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | On the operator content of nilpotent orbifold models | |
| dc.type | text |