OPE-Algebras and their Modules
| dc.creator | Rosellen, Markus | |
| dc.date | 2003-12-16 | |
| dc.date | 2004-08-04 | |
| dc.date.accessioned | 2026-07-07T05:03:58Z | |
| dc.date.available | 2026-07-07T05:03:58Z | |
| dc.description | Vertex algebras formalize the subalgebra of holomorphic fields of a conformal field theory. OPE-algebras were proposed as a generalization of vertex algebras that formalizes the algebra of all fields of a conformal field theory. We prove some basic results about them: The state-field correspondence is an OPE-algebra isomorphism and Dong's lemma and the existence theorem hold for multiply local OPE-algebras; locality implies skew-symmetry; if skew-symmetry holds then duality implies locality for modules and they are equivalent for algebras. We define modules over OPE-algebras. | |
| dc.description | 11 pages, based on math.QA/0209025 | |
| dc.identifier | https://arxiv.org/abs/math/0312313 | |
| dc.identifier | http://arxiv.org/abs/math/0312313 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69622 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B69 (81R10, 81T40) | |
| dc.title | OPE-Algebras and their Modules | |
| dc.type | text |