Intertwining operator algebras and vertex tensor categories for affine Lie algebras
| dc.creator | Huang, Yi-Zhi | |
| dc.creator | Lepowsky, James | |
| dc.date | 1997-06-22 | |
| dc.date | 1999-03-24 | |
| dc.date.accessioned | 2026-07-07T09:05:01Z | |
| dc.date.available | 2026-07-07T09:05:01Z | |
| dc.description | We apply the general theory of tensor products of modules for a vertex operator algebra developed in our papers hep-th/9309076, hep-th/9309159, hep-th/9401119, q-alg/9505018, q-alg/9505019 and q-alg/9505020 to the case of the Wess-Zumino-Novikov-Witten models and related models in conformal field theory. We show that for the category of modules for a vertex operator algebra containing a subalgebra isomorphic to a tensor product of rational vertex operator algebras associated to affine Lie algebras, the intertwining operators among the modules have the associativity property, the category has a natural structure of vertex tensor category, and a number of related results hold. We obtain, as a corollary and special case, a construction of the previously-studied braided tensor category structure on the category of finite direct sums of standard (integrable highest weight) modules of a fixed positive integral level for an affine Lie algebra. | |
| dc.description | 29 pages, LaTeX file. Final version appearing in Duke Mathematical Journal. Only copy-editing changes have been made | |
| dc.identifier | https://arxiv.org/abs/q-alg/9706028 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9706028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149588 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 17B69; 17B67, 18D10, 81T40 | |
| dc.title | Intertwining operator algebras and vertex tensor categories for affine Lie algebras | |
| dc.type | text |