Vertex Algebra Approach to Fusion Rules for N = 2 Superconformal Minimal Models
✍ Scribed by Dražen Adamović
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 162 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
Let L be the vertex operator superalgebra associated to the unitary vacuum c m 3 m module for the N s 2 superconformal algebra with the central charge c s , m m q 2 m g .ގ Then the unitary N s 2-modules give all irreducible modules for the vertex operator superalgebra L . In this paper, we determine all fusion rules for c m L -modules from the vertex algebra point of view. These fusion rules coincide c m Ž with the fusion rules obtained by M. Wakimoto Fusion rules for N s 2 supercon-. formal modules, hep-thr9807144 using a modified Verlinde formula. ᮊ 2001 Academic Press m w x A . It was shown that the SVOA L for m g ގ has finitely many c m 549