Borwein Identity and Vertex Operator Algebras
โ Scribed by Masaaki Kitazume; Masahiko Miyamoto; Hiromichi Yamada
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 114 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
We will prove the Borwein identity by computing the characters of some automorphisms of the lattice vertex operator algebra (VOA) of type E 6 . As similar examples, we will prove two identities containing the famous Jacobi identity, which was also obtained from the VOA of type D 4 by Frenkel Lepowsky Meurman. Our method is a variant of observations made by the above authors.
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
We define automorphisms of vertex operator algebra using the representations of the Virasoro algebra. In particular, we show that the existence of a special 1 element, which we will call a ''rational conformal vector with central charge ,'' 2 implies the existence of an automorphism of a vertex oper
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