In this article, we obtain a decomposition of the Moonshine vertex operator h Ž Ž . Ž . Ž .. m12 algebra V associated with the algebra L 1r2, 0 m L 7r10, 0 m L 4r5, 0 . Our method is based on a coset decomposition of the Leech lattice ⌳ associated 12 ' Ž . with 2 A using some codes. In fact, we cons
Framed Vertex Operator Algebras, Codes and the Moonshine Module
✍ Scribed by Chongying Dong; Robert L. Griess Jr.; Gerald Höhn
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 523 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0010-3616
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In this paper, we construct certain twisted modules for framed vertex operator algebras. As a consequence, we obtain an explicit construction for some 2 A and 2 B twisted modules of the Moonshine vertex operator algebra.
We study a vertex operator algebra whose Virasoro element is a sum of pairwise 1 orthogonal rational conformal vectors with central charge . The most important 2 example is the moonshine module V h . In particular, we construct a series of vertex operator algebras whose full automorphism groups are
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