We study the representation theory of code vertex operator algebras M D ลฝ . VOAs constructed from an even binary linear code D. Our main purpose is to study, using the representation theory of M , the structure of VOA V containing a D 1 set of mutually orthogonal rational conformal vectors with cent
Twisted Representations of Code Vertex Operator Algebras
โ Scribed by Ching Hung Lam
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 157 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We study the twisted representations of code vertex operator algebras. For any inner automorphism g of a code VOA M , we compute the g-twisted modules of D M by using the theory of induced modules. We also show that M is g-rational if
g is an inner automorphism.
๐ SIMILAR VOLUMES
## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY โฃqD D ลฝ . Condition S M = U is irreducible for any irreducible M -mod-โฃqD D ule U. Here M = U denotes a fusion product or a tensor product. They โฃqD both are the same in this paper since we will treat only rational VOAs. As
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
Rational vertex operator algebras, which play a fundamental role in rational conformal field theory (see [BPZ and MS]), single out an important class of vertex operator algebras. Most vertex operator algebras which have been studied so far are rational vertex operator algebras. Familiar examples inc