๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Decomposition of the lattice vertex operator algebra V2Al

โœ Scribed by Ching Hung Lam; Hiromichi Yamada

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
205 KB
Volume
272
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

study a decomposition of the lattice vertex operator algebra V โˆš 2A l as a direct sum of irreducible modules of a certain tensor product of Virasoro vertex operator algebras and a parafermion algebra W l+1 (2l/(l + 3)). We find that the vertex operator algebra V โˆš 2A l contains a subalgebra isomorphic to a parafermion algebra W l+1 (2l/(l + 3)) of central charge 2l/(l + 3). A complete decomposition of the vertex operator algebra

, where c i , i = 1, . . . , l, is given by the discrete series c i = 1 -6/(i + 2)(i + 3), is also obtained.

๐Ÿ“œ SIMILAR VOLUMES

Decomposition of the Moonshine Vertex Op
Decomposition of the Moonshine Vertex Operator Algebra as Virasoro Modules
โœ Masaaki Kitazume; Ching Hung Lam; Hiromichi Yamada ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

In this article, we obtain a decomposition of the Moonshine vertex operator h ลฝ ลฝ . ลฝ . ลฝ .. 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 โŒณ associated 12 ' ลฝ . with 2 A using some codes. In fact, we cons

A Hamming Code Vertex Operator Algebra a
A Hamming Code Vertex Operator Algebra and Construction of Vertex Operator Algebras
โœ Masahiko Miyamoto ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY โฃqD D ลฝ . Condition S M = U is irreducible for any irreducible M -mod-โฃqD D ule U. Here M = U denotes a fusion product or a tensor product. They โฃqD both are the same in this paper since we will treat only rational VOAs. As

Representation Theory of Code Vertex Ope
Representation Theory of Code Vertex Operator Algebra
โœ Masahiko Miyamoto ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 359 KB

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

On the Triality of the Hamming Code Vert
On the Triality of the Hamming Code Vertex Operator Algebra
โœ Mika Matsuo ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

We study a set of certain automorphisms of the Hamming code vertex operator algebra M , which permute the three sets of conformal vectors. We call this set H 8 the triality of H . We construct an embedding M to the VOA V associated to H H D 8 8 4 the lattice of type D , and we establish that the tri