A nonmeromorphic extension of the moonshine module vertex operator algebra
| dc.creator | Huang, Yi-Zhi | |
| dc.date | 1994-06-29 | |
| dc.date | 1995-06-15 | |
| dc.date.accessioned | 2026-07-07T09:03:42Z | |
| dc.date.available | 2026-07-07T09:03:42Z | |
| dc.description | We describe a natural structure of an abelian intertwining algebra (in the sense of Dong and Lepowsky) on the direct sum of the untwisted vertex operator algebra constructed {}from the Leech lattice and its (unique) irreducible twisted module. When restricting ourselves to the moonshine module, we obtain a new and conceptual proof that the moonshine module has a natural structure of a vertex operator algebra. This abelian intertwining algebra also contains an irreducible twisted module for the moonshine module with respect to the obvious involution. In addition, it contains a vertex operator superalgebra and a twisted module for this vertex operator superalgebra with respect to the involution which is the identity on the even subspace and is $-1$ on the odd subspace. It also gives the superconformal structures observed by Dixon, Ginsparg and Harvey. | |
| dc.description | 26 pages. Final version to appear in the Proceedings of the Moonshine, the Monster, and related topics, Summer Research Conference, Mount Holyoke, 1994, Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/hep-th/9406190 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9406190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149107 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | A nonmeromorphic extension of the moonshine module vertex operator algebra | |
| dc.type | text |