On certain higher dimensional analogues of vertex algebras

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dc.creatorLi, Haisheng
dc.date2001-04-24
dc.date.accessioned2026-07-07T04:41:26Z
dc.date.available2026-07-07T04:41:26Z
dc.descriptionA higher dimensional analogue of the notion of vertex algebra is formulated in terms of formal variable language with Borcherds' notion of $G$-vertex algebra as a motivation. Some examples are given and certain analogous duality properties are proved. Furthermore, it is proved that for any vector space $W$, any set of mutually local multi-variable vertex operators on $W$ in a certain canonical way generates a vertex algebra with $W$ as a natural module.
dc.descriptionLatex, 41 pages
dc.identifierhttps://arxiv.org/abs/math/0104225
dc.identifierhttp://arxiv.org/abs/math/0104225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61355
dc.subjectQuantum Algebra
dc.titleOn certain higher dimensional analogues of vertex algebras
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