Local conformal nets arising from framed vertex operator algebras
| dc.creator | Kawahigashi, Yasuyuki | |
| dc.creator | Longo, Roberto | |
| dc.date | 2004-07-15 | |
| dc.date | 2005-04-08 | |
| dc.date.accessioned | 2026-07-07T07:41:15Z | |
| dc.date.available | 2026-07-07T07:41:15Z | |
| dc.description | We apply an idea of framed vertex operator algebras to a construction of local conformal nets of (injective type III_1) factors on the circle corresponding to various lattice vertex operator algebras and their twisted orbifolds. In particular, we give a local conformal net corresponding to the moonshine vertex operator algebras of Frenkel-Lepowsky-Meurman. Its central charge is 24, it has a trivial representation theory in the sense that the vacuum sector is the only irreducible DHR sector, its vacuum character is the modular invariant J-function and its automorphism group (the gauge group) is the Monster group. We use our previous tools such as alpha-induction and complete rationality to study extensions of local conformal nets. | |
| dc.description | 24 pages; The automorphism group of the moonshine net is now identified with the monster group | |
| dc.identifier | https://arxiv.org/abs/math/0407263 | |
| dc.identifier | http://arxiv.org/abs/math/0407263 | |
| dc.identifier | Adv. Math. 206 (2006), 729-751. | |
| dc.identifier | doi:10.1016/j.aim.2005.11.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122040 | |
| dc.subject | Operator Algebras | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R15; 81T05; 81T40; 46L37; 17B69; 20D08 | |
| dc.title | Local conformal nets arising from framed vertex operator algebras | |
| dc.type | text |