Vertex operator algebra with two Miyamoto involutions generating $S_3$
| dc.creator | Sakuma, Shinya | |
| dc.creator | Yamauchi, Hiroshi | |
| dc.date | 2002-07-13 | |
| dc.date | 2002-09-22 | |
| dc.date.accessioned | 2026-07-07T04:49:40Z | |
| dc.date.available | 2026-07-07T04:49:40Z | |
| dc.description | In this article we study a VOA with two Miyamoto involutions generating $S_3$. In \cite{M3}, Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involutions generate an automorphism group isomorphic to $S_3$ is isomorphic to one of the four candidates he listed. We construct one of them and prove that our VOA is actually the same as $\mathrm{VA}(e,f)$ studied by Miyamoto. We also show that there is an embedding into the moonshine VOA. Using our VOA, we can define the 3A-triality in the Monster. | |
| dc.description | latex 26pages, new sections on simple current extensions and embedding into the moonshine VOA are added | |
| dc.identifier | https://arxiv.org/abs/math/0207117 | |
| dc.identifier | http://arxiv.org/abs/math/0207117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64510 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B68, 17B69 | |
| dc.title | Vertex operator algebra with two Miyamoto involutions generating $S_3$ | |
| dc.type | text |