Abstract
A higher-dimensional analogue of the notion of vertex algebra, called that of axiomatic Gn-vertex algebra, is formulated with Borcherds' notion of G-vertex algebra as a motivation. Some examples are given and certain analogous duality properties are proved. 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 an axiomatic Gn-vertex algebra with W as a natural module.
Original language | English (US) |
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Pages (from-to) | 1-41 |
Number of pages | 41 |
Journal | Journal of Algebra |
Volume | 262 |
Issue number | 1 |
DOIs | |
State | Published - Apr 1 2003 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory