Download Extensions Of The ...

Cristiano Husu

Format: Paperback

Language: English

Pages: 85

Publisher: Amer Mathematical Society (November 1993)

ISBN: 0821825712

Format: PDF / Kindle / ePub

Size: 5.1 MB

Downloadable formats: PDF

This booklet extends the Jacobi identification, the most axiom for a vertex operator algebra, to multi-operator identities. in accordance with buildings of Dong and Lepowsky, relative ${\mathbf Z}_2$-twisted vertex operators are then brought, and a Jacobi identification for those operators is proven. Husu makes use of those rules to interpret and get well the twisted Z -operators and corresponding producing functionality identities constructed through Lepowsky and Wilson for the development of the normal $A^{(1)}_1$-modules. the viewpoint of the Jacobi id additionally indicates the equivalence among those twisted Z-operator algebras and the (twisted) parafermion algebras developed by way of Zamolodchikov and Fadeev. The Lepowsky-Wilson producing functionality identities correspond to the identities focused on the development of a foundation for the gap of C-disorder fields of such parafermion algebras.

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