A theory of tensor products for module categories for a vertex operator algebra, I
| dc.creator | Huang, Yi-Zhi | |
| dc.creator | Lepowsky, James | |
| dc.date | 1993-09-14 | |
| dc.date | 1995-05-17 | |
| dc.date.accessioned | 2026-07-07T09:01:19Z | |
| dc.date.available | 2026-07-07T09:01:19Z | |
| dc.description | This is the first part in a series of papers developing a tensor product theory for modules for a vertex operator algebra. The goal of this theory is to construct a ``vertex tensor category'' structure on the category of modules for a suitable vertex operator algebra. The notion of vertex tensor category is essentially a ``complex analogue'' of the notion of symmetric tensor category, and in fact a vertex tensor category produces a braided tensor category in a natural way. The theory applies in particular to many familiar ``rational'' vertex operator algebras, including those associated with WZNW models, minimal models and the moonshine module. In this paper (Part I), we introduce the notions of $P(z)$- and $Q(z)$-tensor product, where $P(z)$ and $Q(z)$ are two special elements of the moduli space of spheres with punctures and local coordinates, and we present the fundamental properties and constructions of $Q(z)$-tensor products. | |
| dc.description | 65 pages. To appear in Selecta Mathematica. The introduction is substantially expanded, references are updated, and a few misprints are corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9309076 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9309076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148282 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | A theory of tensor products for module categories for a vertex operator algebra, I | |
| dc.type | text |