Home » Extensions of the Jacobi Identity for Vertex Operators and Standard A]-Modules by Cristiano Husu
Extensions of the Jacobi Identity for Vertex Operators and Standard A]-Modules Cristiano Husu

Extensions of the Jacobi Identity for Vertex Operators and Standard A]-Modules

Cristiano Husu

Published January 1st 1993
ISBN : 9780821825716
Unknown Binding
85 pages
Enter the sum

 About the Book 

This work extends the Jacobi identity, the main axiom for a vertex operator algebra, to multi-operator identities. Based on constructions of Dong and Lepowsky, relative Z [2 -twisted vertex operators are then introduced, and a Jacobi identity forMoreThis work extends the Jacobi identity, the main axiom for a vertex operator algebra, to multi-operator identities. Based on constructions of Dong and Lepowsky, relative Z [2 -twisted vertex operators are then introduced, and a Jacobi identity for these operators is established. Husu uses these ideas to interpret and recover the twisted Z -operators and corresponding generating function identities developed by Lepowsky and Wilson for the construction of the standard A [1 ](1) -modules. The point of view of the Jacobi identity also shows the equivalence between these twisted Z-operator algebras and the (twisted) parafermion algebras constructed by Zamolodchikov and Fadeev. The Lepowsky-Wilson generating function identities correspond to the identities involved in the construction of a basis for the space of C-disorder fields of such parafermion algebras.