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A higher-dimensional generalization of the notion of vertex algebra

✍ Scribed by Haisheng Li

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
287 KB
Volume
262
Category
Article
ISSN
0021-8693

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✦ Synopsis

A higher-dimensional analogue of the notion of vertex algebra, called that of axiomatic G n -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 G n -vertex algebra with W as a natural module.

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